Algebraic K-theory view on KK-theory

2003/04/04 by Tamaz Kandélaki, Tamaz Kandelaki, Kandelaki, Tamaz
Mathematics · #19D06 #19D99 #19K35 #46L99 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #math.KT #math.OA #msc:19D06 #msc:19D99 #msc:19K35 #msc:46L99

paper · pdf · doi:10.48550/arxiv.math/0304063

arxiv created 2003/04/04 · openalex publication_date 2003/04/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let a compact group G act on real or complex C*-algebras A and B, with A separable and B sigma-unital. We express the G-equivariant Kasparov groups KK_n(A,B) by algebraic K-groups of a certain additive category.

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