The topological K-theory of crystallographic groups with holonomy\n \ℤ/2

2020/09/21 by Mario Velásquez, Velásquez, Mario
Computer Science · Mathematics · #19L47 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2009.10112

openalex publication_date 2020/09/21 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this note we present a complete computation of the topological K-theory of\nthe reduced C*-algebra of a semidirect product of the form\n\Γ=\ℤⁿ rtimes_\ρ\ℤ/2 with no further assumptions about\nof the conjugacy action \ρ. For this, we use some results for\n\ℤ/2-equivariant K-theory proved by Rosenberg and previous results of\nDavis and Luck when the conjugacy action \ρ is free outside the origin.\n

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