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arXiv · 1504.03019

Cyclic homology for Hom-associative algebras

Mohammad Hassanzadeh·Ilya Shapiro·Serkan Sütlü
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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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Mohammad Hassanzadeh, Ilya Shapiro, Serkan Sütlü. 2015-04-12. Cyclic homology for Hom-associative algebras. https://doi.org/10.1016/j.geomphys.2015.07.026

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