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

Radu Popescu
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Abstract

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.

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Radu Popescu. 2006-12-06. Coactions of Hopf-$C^*$-algebras and equivariant $E$-theory. https://arxiv.org/abs/math/0410023

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