Cyclic homology for Hom-associative algebras

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• 作者：Mohammad Hassanzadeh ; ^{mhassan@uwindsor.ca" class="auth_mail" title="E-mail the corresponding author} ; Ilya Shapiro ^{ishapiro@uwindsor.ca" class="auth_mail" title="E-mail the corresponding author} ; Serkan Sü ; tlü ; ^{serkansutlu@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Cyclic homology ; Noncommutative geometry ; Hom-associative algebras
• 刊名：Journal of Geometry and Physics
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：98
• 期：Complete
• 页码：40-56
• 全文大小：449 K

文摘

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.