skip to content
 

Group actions on C*-algebras and obstruction theory

Presented by: 
Masaki Izumi Kyoto University
Date: 
Tuesday 20th June 2017 - 16:00 to 17:00
Venue: 
INI Seminar Room 2
Abstract: 
This talk gives an account of the roles in group actions on C*-algebras played by the classical obstruction theory for fiber bundles. More specifically, I discuss the following deciding problems:

(1) whether a given 2-cocycle action is equivalent to an ordinary action or not,
(2) whether a given 1-cocycle of an action is an (asymptotic) coboundary or not,
(3) whether two given actions are cocycle conjugate or not.

The idea works well for poly-Z groups on Kirchberg algebras.

This is joint work with Hiroki Matui.



The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons