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

2004/10/01 by Radu Popescu, Popescu, Radu · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Noncommutative and Quantum Gravity Theories #math.KT #math.OA #msc:19K56 #msc:22D25 #msc:46L80

paper · pdf · doi:10.48550/arxiv.math/0410023

35 pages

arxiv created 2006/12/06 · arxiv updated 2009/12/01

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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