Relative soficity for discrete groups
Speaker:
Ronghui Ji, Indiana University Purdue University Indianapolis
Date and Time:
Wednesday, May 16, 2018 - 2:30pm to 3:15pm
Location:
Fields Institute, Room 230
Abstract:
For a countable discrete group we define the relative soficity of the group with respect to a family of groups. A group is sofic if and only if it is relatively sofic with respect to the trivial group. We prove that a group is relative sofic with respect to a family of sofic groups is sofic. This applies to the case of relative amenability and we show that a group is relatively amenable with respect to a family of groups is relatively sofic with respect to the family.