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A note on Toeplitz operators on discrete groups

Authors: Qingxiang Xu and Xiaoman Chen
Journal: Proc. Amer. Math. Soc. 126 (1998), 3625-3631
MSC (1991): Primary 47B35
MathSciNet review: 1469443
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Abstract | References | Similar Articles | Additional Information

Abstract: We study Toeplitz algebras associated to partially-ordered and quasi-partially ordered discrete groups.

References [Enhancements On Off] (What's this?)

  • 1. G. J. Murphy, Ordered groups and Toeplitz algebras, J. Operator Theory 18 (1987), no. 2, 303–326. MR 915512
  • 2. G. J. Murphy, Spectral and index theory for Toeplitz operators, Proc. Roy. Irish Acad. Sect. A 91 (1991), no. 1, 1–6. MR 1173153
  • 3. Gerard J. Murphy, An index theorem for Toeplitz operators, J. Operator Theory 29 (1993), no. 1, 97–114. MR 1277967
  • 4. G. J. Murphy, Toeplitz operators and algebras, Math. Z. 208 (1991), no. 3, 355–362. MR 1134581,
  • 5. Efton Park, Index theory and Toeplitz algebras on certain cones in 𝑍², J. Operator Theory 23 (1990), no. 1, 125–146. MR 1054820
  • 6. Marco Pavone, Toeplitz operators on discrete groups, J. Operator Theory 27 (1992), no. 2, 359–384. MR 1249652
  • 7. X. Chen and Q. Xu, Toeplitz operators on discrete abelian groups, preprint.
  • 8. X. Chen and Q. Xu, Toeplitz operators determined by multiple quasi-partial ordered groups, preprint.
  • 9. Q. Xu, Toeplitz operators on the Bergman space and the Hardy space, Ph.D. Thesis, Fudan, Univ., Shanghai, 1995.

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Additional Information

Qingxiang Xu
Affiliation: Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People’s Republic of China

Xiaoman Chen
Affiliation: Institute of Mathematics, Fudan University, Shanghai, 200433, People’s Republic of China

Keywords: Toeplitz operator, discrete group, quasi-partial order
Received by editor(s): January 10, 1997
Received by editor(s) in revised form: April 24, 1997
Additional Notes: This research was supported in part by the National Science Foundation of China and the Science and Technology Foundation of Shanghai Higher Education
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society