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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

Relations between twisted derivations and twisted cyclic homology


Author: Jack M. Shapiro
Journal: Proc. Amer. Math. Soc. 140 (2012), 2647-2651
MSC (2010): Primary 16E40; Secondary 16T20
Published electronically: December 21, 2011
MathSciNet review: 2910752
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Abstract: For a given endomorphism on a unitary $ k$-algebra, $ A$, with $ k$ in the center of $ A$, there are definitions of twisted cyclic and Hochschild homology. This paper will show that the method used to define them can be used to define twisted de Rham homology. The main result is that twisted de Rham homology can be thought of as the kernel of the Connes map from twisted cyclic homology to twisted Hochschild homology.


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Additional Information

Jack M. Shapiro
Affiliation: Department of Mathematics, Washington University, Saint Louis, Missouri 63130
Email: jshapiro@math.wustl.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11285-1
Received by editor(s): March 11, 2009
Received by editor(s) in revised form: March 15, 2011
Published electronically: December 21, 2011
Communicated by: Birge Huisgen-Zimmermann
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.