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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Generalized cyclic cohomology
associated with deformed commutators

Author: Daoxing Xia
Journal: Proc. Amer. Math. Soc. 124 (1996), 1743-1753
MSC (1991): Primary 47A55; Secondary 47G05
MathSciNet review: 1307572
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Abstract: The generalized cyclic cohomology is introduced which is associated with $q$-deformed commutators $xy-qyx$. Some formulas related to the trace of the product of $q$-deformed commutators are established. The Chern character of odd dimension associated with $q$-deformed commutators is studied.

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Daoxing Xia
Affiliation: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240

Keywords: Cyclic cohomology, Chern character, deformed commutator, twisted commutator
Received by editor(s): July 11, 1994
Received by editor(s) in revised form: November 11, 1994
Additional Notes: This work is supported in part by NSF grant DMS-9400766. Part of this paper has been presented to the Functional Analysis Colloquium of UCB, Seminar of Operator Theory of SUNY, Buffalo and GPOTS, Lincoln, Nebraska, 1994.
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society