Speaker: Ken Dykema
Affiliation: Texas A&M University
Title: Free entropy dimension in amalgamated free products.
Time and Place: Thursday, September 14, 3:00-3:55pm, Milner 317.
Abstract: We calculate the free entropy dimension of natural generators in an amalgamated free product of the hyperfinite II_1-factor with itself, with amalgamation over a type I subalgebra. In particular, some 'exotic' Popa algebra generators of free group factors are shown to have the expected free entropy dimension.
The talk will include some introductory description of free entropy dimension and microstate spaces.
(Joint work with Nate Brown and Kenley Jung.)