A note on Toeplitz operators on discrete groups
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- by Qingxiang Xu and Xiaoman Chen PDF
- Proc. Amer. Math. Soc. 126 (1998), 3625-3631 Request permission
Abstract:
We study Toeplitz algebras associated to partially-ordered and quasi-partially ordered discrete groups.References
- G. J. Murphy, Ordered groups and Toeplitz algebras, J. Operator Theory 18 (1987), no. 2, 303–326. MR 915512
- G. J. Murphy, Spectral and index theory for Toeplitz operators, Proc. Roy. Irish Acad. Sect. A 91 (1991), no. 1, 1–6. MR 1173153
- Gerard J. Murphy, An index theorem for Toeplitz operators, J. Operator Theory 29 (1993), no. 1, 97–114. MR 1277967
- G. J. Murphy, Toeplitz operators and algebras, Math. Z. 208 (1991), no. 3, 355–362. MR 1134581, DOI 10.1007/BF02571532
- Efton Park, Index theory and Toeplitz algebras on certain cones in $\textbf {Z}^2$, J. Operator Theory 23 (1990), no. 1, 125–146. MR 1054820
- Marco Pavone, Toeplitz operators on discrete groups, J. Operator Theory 27 (1992), no. 2, 359–384. MR 1249652
- X. Chen and Q. Xu, Toeplitz operators on discrete abelian groups, preprint.
- X. Chen and Q. Xu, Toeplitz operators determined by multiple quasi-partial ordered groups, preprint.
- Q. Xu, Toeplitz operators on the Bergman space and the Hardy space, Ph.D. Thesis, Fudan, Univ., Shanghai, 1995.
Additional Information
- Qingxiang Xu
- Affiliation: Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People’s Republic of China
- MR Author ID: 345629
- Email: mathsci@dns.shtu.edu.cn
- Xiaoman Chen
- Affiliation: Institute of Mathematics, Fudan University, Shanghai, 200433, People’s Republic of China
- Email: xchen@fudan.edu.cn
- 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
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3625-3631
- MSC (1991): Primary 47B35
- DOI: https://doi.org/10.1090/S0002-9939-98-04615-2
- MathSciNet review: 1469443