A note on Kasparov products

2011/03/31 by Martin Grensing, Grensing, Martin
Mathematics · #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #math.KT #math.OA

paper · pdf · doi:10.48550/arxiv.1103.6244

arxiv created 2011/03/31 · arxiv updated 2011/04/01

Abstract

Combining Kasparov's theorem of Voiculesu and Cuntz's description of KK-theory in terms of quasihomomorphisms, we give a simple construction of the Kasparov product. This will be used in a more general context of locally convex algebras in order to treat products of certain universal cycles.

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• Generalized homomorphisms and KK with extra structure
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• Immersions and the unbounded Kasparov product: embedding spheres into Euclidean space
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