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Generalized homomorphisms and KK with extra structure

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arxiv 2404.06840 v1 pith:VTRK4RB4 submitted 2024-04-10 math.KT math.OA

Joachim Cuntz , James Gabe This is my paper · ORCID
classification math.KTmath.OA
keywords theoryalgebraapproachcoverdevelopextrageneralizedhomomorphisms
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abstract

We develop the approach via quasihomomorphisms and the universal algebra $qA$ to Kasparov's $KK$-theory, so as to cover versions of $KK$ such as $KK^{nuc}$, $KK^G$ and ideal related $KK$-theory.

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  1. Equivariant $KK$-theory and model categories

    math.KT 2025-06 conditional novelty 7.0 of 10

    A simplicial, cofibrantly generated, stable model structure on ν-complete locally multiplicative convex G-C*-algebras is constructed whose homotopy category recovers Kasparov's equivariant KK-theory.

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