Xiaochun Fang

Prof. Xiaochun Fang

Department of Mathematics

Tongji University, China




1993 Ph.D., Institute of Mathematics, Fudan University, China

1988 B.Sc., Department of Mathematics, Tongji University, China

Publications (Selected)

  1. Fan Qingzhai, Fang Xiaochun, Stable rank one and real rank zero for crossed products by finite group actions with the tracial Rokhlin property, Chinese Ann. of Math. (B), 30 (2009), No.2, 179-186
  2. Fan Qingzhai, Fang Xiaochun, The cancellation property of simple C*-algebras with tracial stable rank one, Advances in Math. (China), 38 (2009), No.1, 69-74
  3. Fang Xiaochun,Zhao Yile, Approximately isometric lifting in quasidiagonal extensions, Science in China Series A: Mathematics, 52 (2009), Number 3, 457-467
  4. Xu Xiao-Ming, Du Hong-Ke, Fang Xiaochun, An Explicit Expression of Supremum of Bounded Quantum Observables, J. Math. Phys. 50, Article ID 033502  (2009), 9 pages; doi:10.1063/1.3075826
  5. Liu Shudong and Fang Xiaochun, Extension Algebras of Cuntz Algebra (II), Bull. Aust. Math. Soc. 80 (2009), 83—90 DOI: 10.1017/S0004972709000227
  6. Fang Xiaochun, The classification of certain non-simple C*-algebras of tracial rank zero, Journal of Functional Analysis, 256 (2009), No. 11 , 3861-3891
  7. X. Fang, J. Yu, H. Yao, Solutions to operator equations on Hilbert C*-Modules, Linear Algebras and Its Applications, 431 (2009) 2142-2153 No. 11, DOI: 10.1016/j.laa.2009.07.009
  8. Fang Xiaochun, Yang Xinbing, Real rank and stable rank of C*-algebras with tracial rank zero,Houston Journal of Math., 35 (2009) No. 4, 1111—1129
  9. Fang Xiaochun,AF embedding of crossed products of certain graph C*-Algebras by quasi-free actions, C. R. Math. Rep. Acad. Sci. Canada, 31 (2009), No. 3,76—86
  10. Yang Xinbing, Fang Xiaochun, Approximate conjugacy for C*-dynamical systems,Advances in Math. (China), 38 (2009), No. 5, 621--628
  11. Gao Fugen, Fang Xiaochun, On k-quasi-class A operators, Journal of Inequalities and Applications,Article ID 921634 (2009), 10 pages; doi: 10.1155/2009/921634. Vol. 2009
  12. Fang Xiaochun, Zhao Yile, The extensions of C*-algebras with tracial topological rank no more than one, Illinois Journal of Mathematics, 53 (2009), No. 2,441-462
  13. Elliott G. A., Fang Xiaochun, Ideals and Simplicity of Crossed Products of Graph C*-Algebras by Quasi-free Actions,Muenster J. of Math, 3 (2010), pp. 11-28
  14. Yao Hongliang, Fang Xiaochun, Notes on-algebras and extensions of AT-algebras by, Bulletin of the London Mathematical Society (Bull. London Math. Soc.), 42 (2010) 275–281. Print ISSN: 0024-6093 Online ISSN: 1469-2120
  15. Fang Xiaochun, Wang Lin, Equivalent definitions of infinite positive elements in simple C*-algebras, Canadian Mathematical Bulletin, Vol.53 (2010), No.2, pp. 256-262. ISSN: 0008-4395
  16. Fang Xiaochun, Yu Jing, Solutions to operator equations on Hilbert C*-Modules II, Integral Equations and Operator Theory, 68 (2010), No.1, pp. 23-60. ISSN: 0378-620X (print version) ISSN: 1420-8989 (electronic version)
  17. Liu Shudong, Fang Xiaochun, K-theory for certain extension algebras of purely infinite simple C*-algebras, Proceedings-Mathematical Sciences, 120 (2010), No.4, pp. 409-416
  18. Xu Xiao-Ming, Du Hong-Ke, Fang Xiaochun, Li Yuan, The supremum of linear operators for *-order, Linear Algebras and Its Applications, 433 (2010), pp. 2198-2207
  19. Xu Xiao-Ming, Du Hong-Ke, Fang Xiaochun, On the infimum of Bounded Quantum Observables, J. Math. Phys. 51, Article ID 093522 (2010), 4 pages. ISSN (printed): 0022-2488. ISSN (electronic): 1089-7658
  20. Fang Xiaochun, Yu Jing,Compatibility and Schur Complements of Operators on Hilbert C*-Module, Chinese Ann. of Math. (B),32 (2011), No. 1,69-88
  21. Yao Hongliang, Fang Xiaochun,Partial isometries and an invariant of C*-algebras, Acta Mathematica Sinica, Vol.27 (2011), Number 4, 799-806
  22. Fang Xiaochun, AF embedding of crossed products of certain graph C*-Algebras by quasi-free actions (II), Acta Mathematica Sinica, Vol.27 (2011), No.8, 1581-1590, DOI: 10.1007/s10114-011-8622-0
  23. Yang Xinbing, Fang Xiaochun, The tracial rank for crossed products by finite group actions,The Rocky Mountain Journal of Mathematics, to appear soon
  24. Fang Xiaochun, Zhao Yile, Tracial topological rank of certain C*-algebras, Science in China Series A: Mathematics, 2295—2308, No. 11, 54 (2011)
  25. Quanyuan Chen, Xiaochun Fang, Patiality of Derivations of Operator Algebras in Banach Spaces, Abstract and Applied Analysis, Volume 2011, Article ID 813723, 13 pages, DOI:10.1155/2011/813723