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Mathematics > K-Theory and Homology

arXiv:0710.2623 (math)
[Submitted on 13 Oct 2007]

Title:Cup products in Hopf cyclic cohomology via cyclic modules I

Authors:Bahram Rangipour (The University of New Brunswick, Fredericton, NB, Canada)
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Abstract: This is the first one in a series of two papers on the continuation of our study in cup products in Hopf cyclic cohomology. In this note we construct cyclic cocycles of algebras out of Hopf cyclic cocycles of algebras and coalgebras. In the next paper we consider producing Hopf cyclic cocycle from "equivariant" Hopf cyclic cocycles. Our approach in both situations is based on (co)cyclic modules and bi(co)cyclic modules together with Eilenberg-Zilber theorem which is different from the old definition of cup products defined via traces and cotraces on DG algebras and coalgebras.
Comments: 17 pages
Subjects: K-Theory and Homology (math.KT); Operator Algebras (math.OA)
Cite as: arXiv:0710.2623 [math.KT]
  (or arXiv:0710.2623v1 [math.KT] for this version)
  https://doi.org/10.48550/arXiv.0710.2623

Submission history

From: Bahram Rangipour [view email]
[v1] Sat, 13 Oct 2007 18:42:11 UTC (13 KB)
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