Work

On the relation between the product of KK-groups and the KK-group of the product

Year: 2026

Type: preprint

Abstract: We observe that the canonical map \(KK(A, \prod_{n \in \mathbb{N}} B_n) \to \prod_{n \in \mathbb{N}} KK(A,B_n)\) is an isomorphism of abelian groups whenever \(A\) enjoys the Universal Coefficient Theorem and \(B_n\) are unital, simple and purely infinite C*-algebras. This clarifies an aspect of previous work of Dadarlat--Eilers and Tikuisis--White--Winter.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2606.20181

Author: Martínez, Diego

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fonds Wetenschappelijk Onderzoek, Vlaamse regering

Awards: Classification of C*-dynamics: noncommutative symmetry and time evolution, The UCT, weak Cartan subalgebras and Rigidity for Spaces of Large Scale Geometry

OpenAlex ID: W7165391075

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