Relations between twisted derivations and twisted cyclic homology
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- by Jack M. Shapiro PDF
- Proc. Amer. Math. Soc. 140 (2012), 2647-2651 Request permission
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.References
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Additional Information
- Jack M. Shapiro
- Affiliation: Department of Mathematics, Washington University, Saint Louis, Missouri 63130
- Email: jshapiro@math.wustl.edu
- 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
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 2647-2651
- MSC (2010): Primary 16E40; Secondary 16T20
- DOI: https://doi.org/10.1090/S0002-9939-2011-11285-1
- MathSciNet review: 2910752