主 题: Entropy for actions of sofic groups
报告人: Prof. Hanfeng LI(SUNY at Buffalo)
时 间: 2010-06-04 14:00-15:00
地 点: 理科一号楼1114(数学所活动)
Entropy is a numerical invariant for measurable or topological
dynamical systems. Classically, entropy is defined for measurable or
continuous actions of countable amenable groups. Recently Lewis Bowen
introduced entropy invariants for measure-preserving actions of
countable sofic groups (including both amenable groups and residually
finite groups) when there are generating countable partitions with
finite entropy. I will describe an operator-algebraic approach to define
entropy for any measure-preserving actions on standard probability
spaces and continuous actions on compact metrizable spaces of countable
sofic groups. This is joint work with David Kerr.
