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On the relation between the product of KK-groups and the ...
[Submitted on 18 Jun 2026] · 2026-06-19 · via math updates on arXiv.org

Mathematics > Operator Algebras

arXiv:2606.20181 (math)

[Submitted on 18 Jun 2026]

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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.

Submission history

From: Diego Martínez [view email]
[v1] Thu, 18 Jun 2026 12:51:58 UTC (10 KB)

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