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30.07.2018 in Florianópolis

Kang Li  (李康)

Address

Institute of Mathematics
Polish Academy of Sciences  
ul. Śniadeckich 8, 00-656, WarsawPoland 
Email: kli@impan.pl


I am an assistant professor at Institute of Mathematics of the Polish Academy of Sciences (IMPAN) in Warsaw, Poland. I am a member of the Workgroup for Geometric and Analytic Group Theory and my mentor is Associate Prof. Piotr Nowak.

My research areas: operator algebras, analytic and geometric group theory as well as coarse geometry. My current research is focused on

  • The Baum-Connes conjecture for algebraic groups [14, 15].
  • Structure and Dimension theories for étale groupoid C*-algebras [16, 17, 19].
  • Structure and K-theory of lp-uniform Roe algebras [18, 20].

Articles 

  • 20. (with Baojie Jiang and Jiawen Zhang) The nuclearity of quasi-local algebras, in preparation, (2018)   
  • 19. (with Pere Ara, Joan Bosa and Christian Bönicke) The dynamical Toms-Winter conjecture for ample groupoids, in preparation, (2018)  
  • 18. (with Yeong Chyuan Chung) Structure and K-theory of lp-uniform Roe algebras, in preparation, (2018)   
  • 17. (with Christian Bönicke and Rufus Willett) The structure of groupoid C*-algebras with finite dynamic asymptotic dimension, in preparation, (2018)   
  • 16. (with Hung-Chang Liao and Wilhelm Winter) The diagonal dimension of C*-algebras, in preparation, (2018)   
  • 15. (with Maarten Solleveld) The Baum-Connes conjecture for quasi-reductive groups over local function fields, in preparation, (2018)   
  • 14. (with Siegfried Echterhoff) The Baum-Connes conjecture with coefficients for connected groups with the Approximation Property, in preparation, (2018)  
  • 13. (with Zhijie Wang and Jiawen Zhang) A quasi-local characterisation of L^p-Roe algebras, arXiv:1808.08593, (2018)  
  • 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:1707.03740, (2017), to appear in Ergodic Theory and Dynamical Systems
  • 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 groups, arXiv: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), 686–716
  • 6. (with Pere Ara, Fernando Lledó and Jianchao Wu) Amenability of coarse spaces and K-algebras, arXiv:1607.00328, Bull. Math. Sci. 8 (2018), no. 2, 257-306
  • 5. (with Jacek Brodzki and Chris Cave) Exactness of locally compact groups, arXiv: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 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)

Theses

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: 09-12-2018


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