Papers and Preprints

          [ps|pdf] Family-independence for topological and measurable dynamics  (joint with Wen Huang and Xiangdong Ye).

          [ps|pdf] C*-algebraic quantum Gromov-Hausdorff distance
      
          [ps|pdf] Appendix to V. Mathai and J. Rosenberg's paper  "A noncommutative sigma-model"

          [ps|pdf] Smooth approximation of Lipschitz projection
                       Canad. Math. Bull. to appear.

          [ps|pdf] Strict p-negative type of a metric space (joint with Anthony Weston).
                       Positivity to appear.

          [ps|pdf] A Hilbert C*-module admitting no frames
                       Bull. Lond. Math. Soc. to appear.

          [ps|pdf] Turbulence, representations, and trace-preserving actions (joint with David Kerr and Mikaël Pichot).
                       Proc. Lond. Math. Soc. (3) to appear.
        
          [ps|pdf] Metric aspects of noncommutative homogeneous spaces
                       J. Funct. Anal. 257 (2009), no. 7, 2325--2350.

          [ps|pdf] On Gromov-Hausdorff convergence for operator metric spaces (joint with David Kerr).            
                       J. Operator Theory 62 (2009), no. 1, 83--109.

[ps|pdf] Compact quantum metric spaces and ergodic actions of compact quantum groups
             J. Funct. Anal.  256 (2009), no. 10,  3368--3408.

          [ps|pdf] Combinatorial independence in measurable dynamics (joint with David Kerr).
                       J. Funct. Anal.  256 (2009), no. 5, 1341--1386.

[ps|pdf] Strong Morita equivalence of higher-dimensional noncommutative tori. II (joint with George A. Elliott).
             Math. Ann. 341 (2008), no. 4, 825--844.

[ps|pdf] Morita equivalence of smooth noncommutative tori (joint with George A. Elliott).
             Acta Math. 199 (2007), 1--27.

[ps|pdf] Independence in topological and C*-dynamics (joint with David Kerr).
             Math. Ann. 338 (2007), no. 4, 869--926.

[ps|pdf] Positive Voiculescu-Brown entropy in noncommutative toral automorphisms (joint with David Kerr).
             Ergodic Theory Dynam. Systems 26 (2006), no. 6, 1855--1866.

[ps|pdf] Order-unit quantum Gromov-Hausdorff distance.
             J. Funct. Anal. 231 (2006), no. 2, 312--360.

[ps|pdf] Dynamical entropy in Banach spaces (joint with David Kerr).
             Invent. Math. 162 (2005), no. 3, 649--686.


[ps|pdf] Zeta functions of totally ramified p-covers of the projective line (joint with Hui June Zhu).
             Rend. Sem. Mat. Univ. Padova 113 (2005), 203--225.

[ps|pdf] Strict quantizations of almost Poisson manifolds.
             Comm. Math. Phys. 257 (2005), no. 2, 257--272.

[ps|pdf] Theta-deformations as compact quantum metric spaces.
             Comm. Math. Phys. 256 (2005), no. 1, 213--238.

[ps|pdf] Flabby strict deformation quantizations and K-groups.
             K-Theory 32 (2004), no. 4, 323--329.

[ps|pdf] Strong Morita equivalence of higher-dimensional noncommutative tori.
             J. Reine Angew. Math. 576 (2004), 167--180.

[ps|pdf] Construction of some families of 2-dimensional crystalline representations (joint with Laurent Berger and Hui June Zhu).
             Math. Ann. 329 (2004), no. 2, 365--377.

[ps|pdf] On embeddings of full amalgamated free product C*-algebras (joint with Scott Armstrong, Ken Dykema, and Ruy Exel).
             Proc. Amer. Math. Soc. 132 (2004), no. 7, 2019--2030.

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Notes

[ps|pdf] An Example where $dist_{GH}>dist_q$ (For a final version, see Appendix 1 of Rieffel's paper Gromov-Hausdorff Distance for Quantum Metric Spaces)

[ps|pdf] Comments on completely continuous operators and Fredholm determinants (Handout in Coleman's course The Eigencurve and the Fontaine-Mazur Conjecture)

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