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Generalized cyclic cohomology associated with deformed commutators

Author(s): 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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Additional Information:

Daoxing Xia
Affiliation: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
Email: xiad@ctrvax.vanderbilt.edu

DOI: 10.1090/S0002-9939-96-03204-2
PII: S 0002-9939(96)03204-2
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
Copyright of article: Copyright 1996, American Mathematical Society

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