Operator algebras conference in memory of Étienne Blanchard

A version of almost finiteness for non-commutative coefficient algebras.

Apr 10, 2019, 11:30 AM

50m

Bâtiment Sophie Germain, Amphi Turing (Université Paris Diderot)

Abstract

Speaker

Joachim Zacharias (Univ. Glasgow)

Description

Almost finiteness is an amenability or Rokhlin approximation type condition for group actions or groupoids which has turned out to be closely connected to Z-stability for the corresponding crossed product. Z-stability is one of the central classifiably conditions for nuclear simple separable C*-algebras. We explore a version of the notion of almost finiteness for actions of discrete amenable groups on non-commutative algebras leading to similar results, in particular to Z-stablity of the associated crossed product. (joint with J. Bosa, F. Perera and J. Wu)