Bernoulli actions of type III and L^2-cohomology

Event details
Date | 12.10.2017 |
Hour | 13:00 › 14:00 |
Speaker | Jonas Wahl (KU Leuven) |
Location | |
Category | Conferences - Seminars |
While the study of measure preserving Bernoulli actions of discrete groups has yielded many stunning results during recent years, not so much is known as soon as one steps away from the measure preserving case. In fact, until recently, the only discrete group known to admit a Bernoulli action without invariant measure was the group of integers. In this talk, I aim to demonstrate that the question whether or not a given group admits a Bernoulli action without invariant measure, depends strongly on its first L^2-cohomology. In particular, I will show how to construct such actions for a large class of discrete groups and give some applications. This is joint work with Stefaan Vaes.
Practical information
- Informed public
- Free