Weak mixing and property T
by
David Kerr
Texas A&M University
Coauthors: Mikael Pichot

It is typically a hopeless task to try to classify dynamical systems on commutative and

noncommutative probability spaces up to conjugacy. On the other hand, one can often

isolate properties which hold for generic systems in the sense of Baire category. I will

discuss the prevalence of different types of mixing behaviour and how this is connected

to the structure of the acting group, with a particular focus on weak mixing and

Kazhdan's property T.

Date received: June 16, 2008