Chinese Science Bulletin

, Volume 43, Issue 14, pp 1175–1179 | Cite as

Fredholm operators in Toeplitz algebras associated with discrete abelian groups

  • Qingxiang Xu
  • Xiaoman Chen


The locally finite below sets are introduced and the Fredholm operators in Toeplitz algebras, associated with discrete abelian groups are studied.


discrete abelian group quasi-ordered group Toeplitz operator Fredholm operator 


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    Douglas, R., Howe, R., On the C*-algebra of Toeplitz operators on the quarter-plane.Trans. Amer. Math. Soc., 1971, 158: 203.CrossRefGoogle Scholar
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    Park, E., Index theory and Toeplitz algebras on certain cones in ℤ2,J. Operator Theory, 1990, 23: 125.Google Scholar
  3. 3.
    Xinhui Jiang, On Fredholm operators in quarter-plane Toeplitz algebras.Proc. Amer. Math. Soc., 1995, 123: 2823.CrossRefGoogle Scholar

Copyright information

© Science in China Press 1998

Authors and Affiliations

  • Qingxiang Xu
    • 1
  • Xiaoman Chen
    • 2
  1. 1.Department of MathematicsShanghai Normal UniversityShanghaiChina
  2. 2.Laboratory of Mathematics for Nonlinear Sciences and Institute of MathematicsFudan UniversityShanghaiChina

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