vix.ing · top · new · best · stats · spec

Periodic cyclic homology of crossed products

2022/05/18 by Michael Puschnigg, Puschnigg, Michael
Mathematics · #16E40 #19D55 #20J06 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2205.08880

openalex publication_date 2022/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the cyclic homology of crossed product algebras from the Cuntz-Quillen point of view. The periodic cyclic homology of a crossed product algebra A\rtimes G is described in terms of the G-action on periodic cyclic bicomplexes of crossed products of A by the cyclic subgroups of G .

Related