Cyclic homology for Hom-associative algebras

Published 12 Apr 2015 in math.KT | (1504.03019v2)

Abstract: In the present paper we investigate the noncommutative geometry of a class of algebras, called the Hom-associative algebras, whose associativity is twisted by a homomorphism. We define the Hochschild, cyclic, and periodic cyclic homology and cohomology for this class of algebras generalizing these theories from the associative to the Hom-associative setting.

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