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Relative cyclic homology of square zero extensions
-
Jorge A Guccione
and
Juan J Guccione
Published/Copyright:
November 20, 2006
Abstract
Let k be a characteristic zero field, C a k-algebra and M a square zero two sided ideal of C. We obtain a new mixed complex, simpler than the canonical one, giving the Hochschild and cyclic homologies of C relative to M. This complex resembles the canonical reduced mixed complex of an augmented algebra. We begin the study of our complex showing that it has a harmonic decomposition like to the one considered by Cuntz and Quillen for the normalized mixed complex of an algebra. We also give new proofs of two theorems of Goodwillie, obtaining a light improvement of one of them.
Received: 2005-07-27
Revised: 2005-10-18
Published Online: 2006-11-20
Published in Print: 2006-11-01
© Walter de Gruyter
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- Relative cyclic homology of square zero extensions
- Weighted Fano threefold hypersurfaces
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Articles in the same Issue
- Exterior products of zero-cycles
- Harmonic analysis on totally disconnected groups and irregularities of point distributions
- Relative cyclic homology of square zero extensions
- Weighted Fano threefold hypersurfaces
- Surfaces expanding by the inverse Gauß curvature flow
- Symplectic singularities from the Poisson point of view
- Multiplicative rule in the Grothendieck cohomology of a flag variety
- Generalized double affine Hecke algebras of higher rank
- Defining relations of the tame automorphism group of polynomial algebras in three variables
