Coactions of Hopf-$C^*$-algebras and equivariant $E$-theory

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We define and study an equivariant $E$-theory with respect to coactions of Hopf $C^*$-algebras; we prove the Baaj-Skandalis duality in this setting. We show that the corresponding equivariant $KK$-theory of Baaj and Skandalis enjoys an universal property. In the appendix, we look at the different ways of expressing equivariant stability for a functor, and prove an equivariant Brown-Green-Rieffel stabilization result.
35 pages

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K-Theory and Homology, Operator Algebras, 46L80; 19K56; 22D25

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http://salesiana.dossiersoluciones.com/handle/123456789/100892

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410023
 http://arxiv.org/abs/math/0410023

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arXiv