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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Generalized cyclic cohomology associated with deformed commutators
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by Daoxing Xia PDF
Proc. Amer. Math. Soc. 124 (1996), 1743-1753 Request permission

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
  • 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 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 1743-1753
  • MSC (1991): Primary 47A55; Secondary 47G05
  • DOI: https://doi.org/10.1090/S0002-9939-96-03204-2
  • MathSciNet review: 1307572