English

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

K-Theory and Homology 2007-05-23 v2 Operator Algebras

Abstract

We define and study an equivariant EE-theory with respect to coactions of Hopf CC^*-algebras; we prove the Baaj-Skandalis duality in this setting. We show that the corresponding equivariant KKKK-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.

Keywords

Cite

@article{arxiv.math/0410023,
  title  = {Coactions of Hopf-$C^*$-algebras and equivariant $E$-theory},
  author = {Radu Popescu},
  journal= {arXiv preprint arXiv:math/0410023},
  year   = {2007}
}

Comments

35 pages