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A note on Kasparov products

Published online by Cambridge University Press:  24 January 2012

Martin Grensing
Martin Grensing*
Affiliation:
Université Denis-Diderot - Paris 7, Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, 75 013 Parisgrensing@gmx.net
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Abstract

Combining Kasparov's generalization of a theorem of Voiculescu and Cuntz's description of KK-theory in terms of quasihomomorphisms (sections one and two), we give a simple construction of the Kasparov product (section three). This construction will be generalized in [Gre] to give a version of the product for so-called locally convex Kasparov modules over locally convex algebras in order to treat products of certain universal cycles.

Keywords

Bivariant K-theoryKasparov productquasihomomorphism
Type
Research Article
Information
Journal of K-Theory , Volume 10 , Issue 2 , October 2012 , pp. 233 - 240
Copyright
Copyright © ISOPP 2012

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References

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