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Kang Li  (李康)

Department of Mathematics
KU Leuven  
Celestijnenlaan 200b - box 2400, 3001 Leuven, Belgium

Operator Algebra Seminar at KU Leuven

Fridays 16:15-17:30 Online

I am currently a Postdoctoral Scholar at Department of Mathematics of the KU Leuven in Belgium. I am a member of the Analysis group leading by Prof. Stefaan Vaes and my mentor is Prof. Gábor Szabó.

My research areas are operator algebras, topological and measurable dynamical systems, analytic and geometric group theory as well as coarse geometry and representation theory of Lie/algebraic groups with the following topics:

  • Property A and coarse embedding in coarse geometry;
  • Approximation properties for simple Lie groups and groupoid dynamical systems;
  • The Baum-Connes conjecture for algebraic groups;
  • Rigidity, Structure and K-theory of lp uniform Roe algebras;
  • Structure and Dimension theories for étale groupoid C*-algebras;
  • Measured asymptotic expanders and counterexamples to the coarse Baum–Connes conjecture.

Articles 

  • 25. (with Ján Špakula and Jiawen Zhang) Measured asymptotic expanders and rigidity for Roe algebras, arXiv:2010.10749, (2020)
  • 24. (with Federico Vigolo and Jiawen Zhang) A Markovian and Roe-algebraic approach to asymptotic expansion in measurearXiv:2008.12572, (2020), Submitted
  • 23. (with Massoud Amini, Damian Sawicki and Ali Shakibazadeh) Dynamic asymptotic dimension for actions of virtually cyclic groups, arXiv:2007.00960, (2020), Submitted
  • 22. (with Piotr Nowak and Sanaz Pooya) Higher Kazhdan projections, l2-Betti numbers and Baum-Connes conjectures, arXiv:2006.09317, (2020), Submitted
  • 21. (with Federico Vigolo and Jiawen Zhang) Asymptotic expansion in measure and strong ergodicity, arXiv:2005.05697, (2020), Submitted
  • 20. (with Bartosz K. Kwaśniewski and Adam Skalski) The Haagerup property for twisted groupoid dynamical systems, arXiv:2004.06317, (2020), Submitted 
  • 19. (with Pere Ara, Christian Bönicke and Joan Bosa) Strict comparison for C*-algebras arising from almost finite groupoidsarXiv:2002.12221, Banach J. Math. Anal. 14, 1692–1710 (2020)
  • 18. (with Pere Ara, Christian Bönicke and Joan Bosa) The type semigroup, comparison and almost finiteness for ample groupoidsarXiv:2001.00376, (2020), Submitted 
  • 17. (with Ana Khukhro, Federico Vigolo and Jiawen Zhang) On the structure of asymptotic expandersarXiv:1910.13320, (2019), Submitted
  • 16. (with Piotr Nowak, Ján Špakula and Jiawen Zhang) Quasi-local algebras and asymptotic expandersarXiv:1908.07814, (2019), to appear in Groups, Geometry, and Dynamics        
  • 15. (with Bruno M. Braga and Yeong Chyuan Chung) Coarse Baum-Connes conjecture and rigidity for Roe algebras, arXiv:1907.10237J. Funct. Anal. 279 (2020), no. 9, 108728
  • 14. (with Yeong Chyuan Chung) Structure and K-theory of lp-uniform Roe algebras, arXiv:1904.07050, (2019), to appear in Journal of Noncommutative Geometry   
  • 13. (with Zhijie Wang and Jiawen Zhang) A quasi-local characterisation of Lp-Roe algebras, arXiv:1808.08593J. Math. Anal. Appl. 474 (2019), no. 2, 1213-1237
  • 12. (with Yeong Chyuan Chung) Rigidity of lp Roe-type algebras, arXiv:1802.08921Bull. London Math. Soc. (6) 50 (2018), 1056–1070
  • 11. (with Christian Bönicke) Ideal structure and pure infiniteness of ample groupoid C*-algebras, arXiv:1707.03740Ergodic Theory Dynam. Systems 40 (2020), no. 1, 34–63
  • 10. (with Rufus Willett) Low-dimensional properties of uniform Roe algebras, arXiv:1705.01290, J. London Math. Soc. (2) 97 (2018), 98–124
  • 9. (with Hung-Chang Liao) Classification of uniform Roe algebras of locally finite groupsarXiv:1705.03716J. Operator Theory 80:1(2018), 25–46
  • 8. (with Siegfried Echterhoff and Ryszard Nest) The orbit method for the Baum-Connes conjecture for algebraic groups over local function fields, arXiv:1704.08548J. Lie Theory 28 (2018), no. 2, 323-341
  • 7. (with Pere Ara, Fernando Lledó and Jianchao Wu) Amenability and uniform Roe algebras, arXiv:1706.04875J. Math. Anal. Appl. 459 (2018), no. 2, 686–716
  • 6. (with Pere Ara, Fernando Lledó and Jianchao Wu) Amenability of coarse spaces and K-algebrasarXiv:1607.00328, Bull. Math. Sci. 8 (2018), no. 2, 257-306
  • 5. (with Jacek Brodzki and Chris Cave) Exactness of locally compact groupsarXiv:1603.01829Adv. Math. 312 (2017), 209-233
  • 4. (with Søren Knudby) A Schur multiplier characterization of coarse embeddability, arXiv:1505.01364, Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 3, 403-409
  • 3. (with Søren Knudby) Approximation properties of simple Lie groups made discrete, arXiv:1408.5238v2, J. Lie Theory 25 (2015), no. 4, 985-1001
  • 2. (with Steven Deprez) Permanence properties of property A and coarse embeddability for locally compact groups, arXiv:1403.7111, (2014)
  • 1. (with Steven Deprez) Property A and uniform embedding for locally compact groups, arXiv:1309.7290, J. Noncommut. Geom. 9 (2015), no. 3, 797-819

Research Visits

  • University of Wollongong, Australia (17 January - 4 February, 2020)
  • Universitat Autonoma de Barcelona, Spain (18 September - 28 September, 2019)
  • University of Münster, Germany (21 July - 27 July, 2019)
  • East China Normal University, China (18 May - 15 June, 2019)
  • University of Glasgow, Scotland, UK (01 April - 05 April, 2019)
  • University of Southampton, UK (22 March - 30 March, 2018)
  • Universitat Autonoma de Barcelona, Spain (23 October - 27 October, 2017)
  • Institute of Mathematics of the Polish Academy of Sciences, Poland (2 October - 4 October, 2017)
  • Radboud Universiteit Nijmegen, Netherlands (11 April - 13 April, 2017)
  • Radboud Universiteit Nijmegen, Netherlands (31 January - 3 February, 2017)
  • University of Copenhagen, Denmark (28 November - 30 November, 2016)
  • Kyoto University, Japan (12 September - 16 September, 2016)
  • Niigata University, Japan (8 September - 9 September, 2016)
  • Chiba University, Japan (5 September - 7 September, 2016)
  • University of Münster, Germany (16. January - 15. March 2015)
  • Universitat Autonoma de Barcelona, Spain (30. November - 6. December 2014)
  • University of Münster, Germany (1. April - 30. April 2014)

Teaching

  • 2008, Block 1: Introduction to Mathematics.
  • 2008, Block 2: Linear Algebra.
  • 2012, Block 4: Introduction to Non-commutative Geometry.
  • 2012, Block 1: Introduction to Mathematics.
  • 2012, Block 2: Linear Algebra.
  • 2013, Block 1: Introduction to Mathematics.
  • 2013, Block 2: Linear Algebra.
  • 2014, Block 1: Introduction to Mathematics.
  • 2014, Block 2: Linear Algebra.

Last modified: 01-11-2020


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