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2011 Cyclic structures in algebraic (co)homology theories
Niels Kowalzig, Ulrich Krähmer
Homology Homotopy Appl. 13(1): 297-318 (2011).

Abstract

This note discusses the cyclic cohomology of a left Hopf algebroid ($\times_A$-Hopf algebra) with coefficients in a right module-left comodule, defined using a straightforward generalisation of the original operators given by Connes and Moscovici for Hopf algebras. Lie-Rinehart homology is a special case of this theory. A generalisation of cyclic duality that makes sense for arbitrary para-cyclic objects yields a dual homology theory. The twisted cyclic homology of an associative algebra provides an example of this dual theory that uses coefficients that are not necessarily stable anti Yetter-Drinfel’d modules

Citation

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Niels Kowalzig. Ulrich Krähmer. "Cyclic structures in algebraic (co)homology theories." Homology Homotopy Appl. 13 (1) 297 - 318, 2011.

Information

Published: 2011
First available in Project Euclid: 29 July 2011

zbMATH: 1245.16009
MathSciNet: MR2803876

Subjects:
Primary: 16E40, 16T05, 16T15, 19D55, 58B34

Rights: Copyright © 2011 International Press of Boston

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Vol.13 • No. 1 • 2011
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