PROFESSOR BOLA O. BALOGUN August 4, 2001 (1.0) PERSONAL DATA (a) NAME: BALOGUN, Bola Olujide (b) CURRENT APPOINTMENT: Professor of Mathematics (Obafemi Awolowo University, Ile-Ife, Nigeria.) (c ) DATE AND PLACE OF BIRTH: 3rd July 1943; Ijebu-Igbo, Nigeria. (d) CURRENT NATIONALITY: Nigerian. (e) MARITAL STATUS: Widower with four dependent children. (f) CURRENT CONTACT ADDRESS: Mathematics and Computer Science Department, National University of Lesotho. P. O. Roma 180, Roma, Lesotho, Southern Africa. (g) PERMANENT ADDRESS: Professor Bola O. BALOGUN, 21-23 Obafemi Awolowo Ave. (Formerly Apoje Road), Ijebu-Igbo, Ogun State, Nigeria. Telephone: +234 01 614 964 (Contact Person: Chief Aristo BALOGUN) +234 037 350 146 (Contact Person: Omo Abati) (2.0) EDUCATION: Institutions attended Period Qualification obtained (a) University of California at Los Angeles 1970-75 M.A., Ph.D. (Math) (b) University College, Ibadan, Nigeria. 1960-63 B.Sc. (Hon Math) Lond. (3.0) DISTINCTION Grade Point Average (GPA) in M.A., Ph.D. was maximum possible in each degree. Obtained first class honours in B.Sc. (Hons. Math.) London University External Examination through the then University College Ibadan, (now University of Ibadan). (4.0) MEMBERSHIP OF PROFESSIONAL BODIES OVER THE YEARS (a) Nigerian Mathematical Society (b) Nigerian Mathematical Association (c) American Mathematical Society (d) American Mathematical Association (e) American Association for the Advancement of Science (5.0) EMPLOYMENT HISTORY (A) Position Held: (a) Teaching Assistant in the University of lbadan Oct 1962 to Oct 1963. (b) Mathematics Tutor, Mayflower Grammar School, Ikene, Ogun State, Nigeria (1963/66) (c) Assistant Lecturer in Mathematics, University of Ife, lbadan (1966/69) (d) Lecturer Grade II in Mathematics, University of Ife, Nigeria (1969/76) (e) Lecturer Grade I in Mathematics, Obafemi Awolowo University, Ile-Ife, (same University-new name) Nigeria (1976/79). (f) Senior Lecturer in Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria (1979/89) (g) Associate Professor of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria (Oct 1989 to Dec1997) (h) Professor of Mathematics, Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria. (Effective from 1997) (B) Temporary positions (a) Professor and Head, Department of Mathematics, Computer Science and Statistics, Ogun State University, Ago-Iwoye, Ogun State, Nigeria. (b) Senior Lecturer In Mathematics, University of the Witwatersrand, Johannesburg, South Africa (Jan/Dec1998). (c) Senior Lecturer, MACS, National University of Lesotho, Roma (Jan 1999 to date) (C) Teaching, activities/courses taught: Undergraduate Linear Algebra, Elementary Algebra, Groups and Rings, Complex Analysis, Differential Equations, Elementary functions, Calculus for Life Sciences, Vector Calculus in several variables, Fundamentals of Arithmetic, Finite Mathematics for Social Sciences (I.e. Modern Mathematics for prospective Primary School Teachers), Calculus for Social Sciences, Abstract Algebra, General Topology, Algebraic Topology, Commutative Algebra, Galois Theory, Year One Applied Mathematics, Group Theory, Real Analysis, Mathematical Methods, Linear Algebra (second course, i.e. up to Jordan Canonical Forms), Elementary Mathematics for Biological Students, Theory of Numbers, Functional Analysis, Introduction to Functions of a Complex Variable. Post-graduate Algebra, Algebraic Topology, Group Theory, Operator Algebras. Post graduate students Supervision M.Sc. Thesis on Algebraic Topology (University of Ife, 1980) M.Sc. Thesis on Extensions of C*-algebras (Obafemi Awolowo University, Ile-Ife, 1988) (D) Research Activities Three Test problems of I. Kaplansky in the setting of Hilbert C*-modules. Hilbert C*-m odules are like Hilbert spaces but their inner products have value in a C*-algebra instead of the complex numbers, Digital Topology. (E) Administrative responsibilities: (a) Member of various committees set up over the years to design or revise the Pure Mathematics syllabuses for undergraduate studies in Obafemi Awolowo University, Ile-Ife, Nigeria. (b) Member, Obafemi Awolowo University, Ile-Ife, Appointments and Promotion Committee, 1980/81. (c) Member of Senate (through Congregation) 1979-81. (d) Member, University Library Management Committee 1980/81 (e) Member, Faculty of Science Post-Graduate Committee !978-81. (f) Member, Faculty of Science Review Panel 1978/79 (g) Moderator for Adeyemi College of Education, Obafemi Awolowo University, Ondo, Nigeria 1968/69. (h) Chairman, Departmental Post-graduate Committee 1987/91. (i) Representative of the Department of Mathematics on the Faculty Board of Education 1975,1977,1981,1985,1989. (j) Representative of the Department of Mathematics on the Faculty of Arts, 1982. (k) Staff Organizer of Departmental Seminars 1978-79. (l) Staff Librarian for the Department of Mathematics 1977-79 (m) Member of the Faculty of Science Course Unit Task Force 1978. (n) Member of the Obafemi Awolowo University, Ile-Ife Investigation Panel on Examination Irregularity: Sept 1977 to June 1978. (o) Head of the Department of Mathematics, Computer Science and Statistics Department, Ogun State University, Ago-Iwoye, Ogun State, Nigeria 1991/92 (p) Member of Senate, Ogun State University. 1991/92 (6.0) NATIONAL/INTERNATIONAL RECOCNITION: (a) External Examination Experience 1) B.Sc. (Math) External Examiner, University of Ilorin, Nigeria (1976/77) 2) Assessor for the University of Ibadan Press 1975. 3) B.Sc. (Math) External Examiner, University of Ibadan (1982/85) 4) M.Sc., M.Phil. and Ph.D. External Examiner, Mathematics Department, University of lbadan, Nigeria: 1982 & 1984 M.Sc.; 1985: Ph.D.; 1988: M.Phil. (b) Visiting Mathematician, International Centre for Theoretical Physics, Trieste, Italy (July 1 to October 30 1996). (c) I was invited by the Nigerian National Mathematical Centre, Abuja, Nigeria, as a resource person to a Workshop on Foundation Algebra for Post-graduate Students in Nigeria. Venue: Ibadan 1987; Abuja 1992. (d) The American Mathematical Society invited me to write critical reviews of the following journal articles for their prestigious MATHEMATICAL REVIEWS, (with year of publication, volume and number, e.g. '96i: 46084' = 1996 Vol. i, No.46084): 1) 96i: 46084 Ji, Ronghui Trace invariant and cyclic cohomology of twisted group C*-algebras. J. Funct. Anal. 130(1995), no. 2, 283-292 (Reviewer: Bola 0. Balogun) 46L85 (I9D55 22D25 46L05). 2) 96f: 46124 Ara, P., Pardo, E Refinement monoids with weak comparability and applications to regular rings and C*-algebras. Proc. Amer. Math. Soc. 124(1996), no. 3, 715-720. (Reviewer: Bola O. Balogun) 46L80 (16L80) 3) 95k: 46096 Phillips, N. Christopher How many exponentials? American J. Math. 116(1994), no. 6, 1513-1543. (Reviewer: Bola O. Balogun) 46L05 (16S50 46L85) 4) 95i: 22008 Baggett, Lawrence; Packer, Judith The Primitive ideal space of two-step nilpotent group C*-algebras. J. Funct. Anal. 124(1994), no. 2, 389-426. (Reviewer: Bola O. BALOGUN) 22D25 (22E25 46L05). 5) 95b: 46099 Nagy, Gabriel On the K-groups of certain C*-algebras used in E-theory. Proc. Amer. Math. Soc. 122(1994) no.4, 1125-1131. (Reviewer: Bola 0. Balogun) 46L80 (19K56). 6) 94f.46092 Goodearl, K.R. Notes on a class of simple C*-algebras with real rank zero. Publ. Mat. 36(1992), no. 2A, 637-654(1993). (Reviewer: Bola 0. Balogun) 46L87 (19K33 46M20). 7) 94e: 46126 Gong, Guihua Smooth extensions for CW-complexes. Trans. Amer. Math. Soc. 342(1994) no.1, 343-358. (Reviewer: Bola 0. Balogun) 46L87 (19K33 46M20) 8) 93j: 46090 Lykoyva, Z. A. On non-zero values of the central homological dimension of C*-algebras. Glasgow Math. J. 34(1992), no. 3, 369-378. (Reviewer: Bola 0. Balogun) 48L85 (46H25 46M20). 9) 93c: 46064 Phillips, N. Christopher; Ringrose, John R. Exponential rank in operator algebras. Current topics in operator algebras (Nara, 1990) 395-413, World Sci. Publishing, River Edge, NJ, 1991. (Reviewer: Bola O. Balogun) 46L05. 10) 93c: 46127 Stacey, P. J. Involutory *-antiautomorphisms on On,. Math. Proc. Cambridge Philos. Soc. 111(1992), no. 2, 319--323. (Reviewer: Bola 0. Balogun) 46L80 (46L40). 11) 93e: 46116 Elliot, George A. Dimension groups with torsion. Internal. J. Math. 1(1990), no. 4, 361--380. (Reviewer: Bola 0. Balogun) 46L05 (06F15 46L85) 12) 92b: 46115 Kumjian, A. On the K-theory of the symmetrized non-commutative torus. C. R. Math. Rep. Acad. Scl. Canada 12(1990), no. 2-3, 87-89. (Reviewer: Bola O. BALOGUN) 46L80 (19K99 58B30) 13) 91i: 46084 Blackadar, Bruce Symmetries of the CAR algebra. Ann of Math. (2) 131(1990), no. 3, 589-623. (Reviewer: Bola 0. Balogun) 46L80 (19K14) 14) 90f.46097 Popa, Sorin Relative dimension, towers of projections and commuting squares of subfactors. Pacific J. Math. 137(1989), no. 1, 181-207. (Reviewer: Bola O. BALOGUN) 46L35 15) 90c: 46091 Poon, Yiu-Tung A K-theoretic invariant for dynamical systems. Trans. Amer. Soc. 311(1989), no.2, 515-533. (Reviewer: Bola 0. Balogun) 46L80 (19K14 28D20 46L55) 16) 90a: 46185 Rosenberg, Jonathan K-theory of group C*-algebras, and crossed products. Index theory of elliptic operators, foliations and operator algebras (New Orleans, LA/Indiapolis, IN. 1986), 251-301, Contemp. Math, 70, Amer. Math. Soc., Providence, RI, 1988. (Reviewer: Bola O. BALOGUN) 46L80 (19K33 22D25 58G12) 17) 86m: 46109 Madsen, lb.; Rosenberg, Jonathan The universal coefficient theorem for equivalent K-theory of real and complex C*-algebras. Index theory of elliptic operators, foliations, and operator algebras (New Orleans, LA/Indiapolis, IN. 1986), 251--301, Contemp. Math. 70, Amer. Math. Soc., Providence, RI, 1988. (Reviewer: Bola 0. Balogun) 46L80 (19K33 22D25 58G12) 18) 89g: 46095 Cohen, Joel M.; Fig'-Talamanca, Alessandro Idempotetents in the reduced C*-algebra of free group. Proc. Amer. Math. Soc. 103(1988), no. 3, 779-782. (Reviewer Bola 0. Balogun) 46L05 (22D25) 19) 89d: 46072 Mundici, Daniele Farey stellar subdivisions, ultra-simplicial groups, and Ko of AF C*-algebras, Adv. in Math. 68(1988), no. 1, 23-39. (Reviewer: Bola O. Balogun) 46L80 (06F20 1 1H99 19K14) 20) 88d: 22030 Caride, A. 0.; Zanette, S.I. Opechowski's theorem and commutative groups. J. Phys. A 19(1986), no. 9, 1517-1521. (Reviewer: Bola 0. Balogun) 22E70 (20C35) 21) 85d: 22035 Angelopoulos, E. On the unitary dual of SOo(2r, 2), Lett. Math. Phys. 7(1983), no. 2, 121-127. (Reviewer: Bola 0. Balogun) 22E70 (17BIO 17B35) 22) 84i: 22018 Couvreur, G.; Deenen, J.; Quesne, C. Complementary group with respect to SO(n), J. Math. Phys.24(1983), no. 4, 779-784. (Reviewer: Bola 0. Balogun) 22E70 (8 1 C40) (7.0) MAJOR CONFERENCES ATTENDED (a) Annual conference of the Science Association of Nigeria, Jos, Nigeria 1981 (b) Annual conference of the Nigeria Mathematical Society, at Ile-Ife 1985,1995, Ibadan 1989. (c) Mathematical Physics Conference, Lagos, Nigeria 1986-Paper read: Reduced C*-algebras of discrete groups. (d) International School/Symposium on K-Theory and its applications, Ibadan, Nigeria 1987. (e) Workshop on Foundation Algebra for Post-graduate Students, National Mathematical Centre Abuja, Nigeria Venue: lbadan 1987; Abuja 1992 (as a resource person). (f) International Symposium on Group Representation and its applications, Ibadan, Nigeria 1981. (g) Second Pan-Africa Congress of Mathematicians, Jos, Nigeria, 1986. (h) South African Mathematical Society, annual conference, Rand University, Johannesburg 1998. (8.0) PUBLICATIONS: (a) Thesis 1) B. 0. Balogun, (1975) Some problems in Group Theory. Ph.D. Thesis, University of California at Los Angeles. (b) Journal Articles: 1) B. O. Balogun, Conjugately Pure Subgroup Problems, Amer. Math. Monthly 18(1974), 156-158 (Mathematical Reviews (MR) vol. 48, no. 11332) 2) B. O. Balogun, Groups with large conjugacy classes, J. Austral. Math. Soc. (ser A), 24(1977), 257-265 (MR 58, 5924). 3) B. O. Balogun, Conjugate Purity and Infinite Groups, J. Austral. Math. Soc. (Ser.A), 28 (1979), 9-14 (MR 80m: 20033) 4) B. O. Balogun, Abelian Sheaves over Topological Spaces, Bull. Math. Soc. Math. R.S. Roumanle (N. S.) 24(72)(1980), 115-117 (MR 82d: 18011) 5) B.O.Balogun, C*-algebras associated with amalgamated products of groups, Glasgow Math. J. 29(1987), 143-148 (MR 88j: 46059). 6) B. O. Balogun, On the primitivity of group rings of amalgamated free products, Proc. Amer. Math. Soc., 106(1989), 43-47 (MR 89m: 16019) 7) B. O. Balogun, Pro-C*-algebras and Noncommutative Topology, J. Nigerian Math. Soc. 15(1996) 8) B. O. Balogun, Idempotents in the reduced C*-algebras of a free product of groups, Algebras, Groups and Geometries 15(1998), 33-40. (c) Published Book 1) B. O. Balogun, Representation Theory of finite Groups (National Mathematical Centre, Abuja, Nigeria 1987, reprinted 1991) (d) Lecture Notes 1) B. O. Balogun, Group Theory, Mathematics Department, Obafemi Awolowo University, Ile-Ife, Nigeria. (e) Journal Articles under preparation 1) B. O. Balogun, Weakly compact sets in the dual of a C*-algebras. 2) B. O. Balogun, Uniform Boundedness Principle for Hilbert C*-modules. 3) B. O. Balogun, Three Test Problems for Hilbert A-Modules. 4) B. O. Balogun, Digital Topology