5:15 pm Wednesday, February 16, 2011
ERGODIC THEORY SEMINAR: Entropy and the variational principle for actions of sofic groups
by
David KERR (Texas A&M) in HB 227
Recently Lewis Bowen introduced a notion of entropy for measure-preserving actions of a countable sofic group on a standard probability space admitting a generating partition with finite entropy. Using an operator algebra perspective Hanfeng Li and I have developed a more general approach to sofic entropy which produces both measure and topological dynamical invariants. We establish the variational principle in this context, and use it to compute the topological entropy of principal algebraic actions of residually finite groups in terms of the Fuglede-Kadison determinant. Host Department: Rice University-Mathematics
Submitted by aib1@rice.edu |
