The image of Bott periodicity in cyclic homology

2022/06/09 by Joachim Cuntz, Cuntz, Joachim
Computer Science · Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2206.04396

openalex publication_date 2022/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the relationship between Bott periodicity in topological K-theory and the natural periodicity of cyclic homology. This is a basis for understanding the multiplicativity, in odd dimensions, of a bivariant Chern-Connes character from K-theory to cyclic theory.

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