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A note on Toeplitz operators on discrete groups
Author(s):
Qingxiang
Xu;
Xiaoman
Chen
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3625-3631.
MSC (1991):
Primary 47B35
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Abstract:
We study Toeplitz algebras associated to partially-ordered and quasi-partially ordered discrete groups.
References:
- 1.
- G. Murphy, Ordered groups and Toeplitz algebras, J.Operator Theory 18 (1987), 303-326. MR 89f:46132
- 2.
- G. Murphy, Spectral and index theory for Toeplitz operators, Proc. Royal Irish Acad., 91 (A) (1991), 1-6. MR 93k:47039
- 3.
- G. Murphy, An index theorem for Toeplitz operators, J.Operator Theory 29 (1993), 97-114. MR 95h:47035
- 4.
- G. Murphy, Toeplitz operators and algebras, Math. Z. 208 (1991), 355-362. MR 93e:46072
- 5.
- E. Park, Index theory and Toeplitz algebras on certain cones in
, J. Operator Theory 23 (1990), 125-146. MR 91i:47039 - 6.
- M. Pavone, Toeplitz operators on discrete groups, J. Operator Theory 27 (1992), 359-384. MR 94k:47043
- 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
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
DOI:
10.1090/S0002-9939-98-04615-2
PII:
S 0002-9939(98)04615-2
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
Copyright of article:
Copyright
1998,
American Mathematical Society
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