On the K-theory in splitexact algebraic KK-theory

2024/10/05 by Bernhard Burgstaller, Burgstaller, Bernhard · 1 citation
Mathematics · #19A49 #19K35 #19L47 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.2410.04150

openalex publication_date 2024/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proven that in the universal splitexact equivariant algebraic KK-theory for algebras, the K-theory groups coincide with classical K-theory in the sense of Phillips. This partially answers a question raised by Kasparov.

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• Computing the K-homology K-theory product in splitexact algebraic KK-theory

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