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arXiv · 1507.01641

Cyclic homology of cleft extensions of algebras

Jorge A. Guccione·Juan J. Guccione·Christian Valqui
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Abstract

Let k be a commutative algebra with the field of the rational numbers included in k and let (E,p,i) be a cleft extension of A. We obtain a new mixed complex, simpler than the canonical one, giving the Hochschild and cyclic homologies of E relative to ker(p). 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.

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Jorge A. Guccione, Juan J. Guccione, Christian Valqui. 2015-07-06. Cyclic homology of cleft extensions of algebras. https://arxiv.org/abs/1507.01641

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