Cyclic homology for Hom-associative algebras

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.

to appear in J. Geom. Phys

References in corpus (6)

• Hom-algebras and homology
• Why the Standard Model
• Resilience of the Spectral Standard Model
• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras
• Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
• On unitality conditions for Hom-associative algebras

Cited by in corpus (7)

• BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras
• Representations of Bihom-Lie algebras
• The geometry of physical observables
• Transposed Hom-Poisson and Hom-pre-Lie Poisson algebras and bialgebras
• Hom-Tensor Categories and the Hom-Yang-Baxter Equation
• Hom-pre-Malcev and Hom-M-Dendriform algebras
• Hom-Lie-Hopf algebras