Operator algebra Seminar by Paul Jolissaint
Relative inner amenability and relative property gamma
We say that a subgroup of a group is inner amenable relative to if it is proper and if its action by conjugation on admits an invariant mean. We will discuss this property and present families of examples. The analoguous relative property gamma for subfactors in type II_1 factors will also be discussed. In particular, it will be compared to D. Bisch's property gamma for an inclusion of type II_1 factors, and a characterization of non-Kazhdan's groups will be given.