Cyclic Homologies of Crossed Modules of Algebras

Details Cyclic Homologies of Crossed Modules of Algebras Cyclic Homologies of Crossed Modules of Algebras

2008-12-03

arxiv.org/abs/0812.0767v1

Mathematics

K-Theory and Homology

Scientific paper

The Hochschild and (cotriple) cyclic homologies of crossed modules of (not-necessarily-unital) associative algebras are investigated. Wodzicki's excision theorem is extended for inclusion crossed modules in the category of crossed modules of algebras. The cyclic and cotriple cyclic homologies of crossed modules are compared in terms of long exact homology sequence, generalising the relative cyclic homology exact sequence.

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