110 citations · 362 across the 50 of their papers we have counts for
4 papers · 1 filter
Soficity, amenability, and dynamical entropy
David Kerr, Hanfeng Li
In a previous paper the authors developed an operator-algebraic approach to Lewis Bowen's sofic measure entropy that yields invariants for actions of countable sofic groups by home…
Bernoulli actions and infinite entropy
David Kerr, Hanfeng Li
We show that, for countable sofic groups, a Bernoulli action with infinite entropy base has infinite entropy with respect to every sofic approximation sequence. This builds on the…
Entropy and the variational principle for actions of sofic groups
David Kerr, Hanfeng Li
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…
Compact Group Automorphisms, Addition Formulas and Fuglede-Kadison Determinants
Hanfeng Li
For a countable amenable group Γand an element f in the integral group ring ZΓbeing invertible in the group von Neumann algebra of Γ, we show that the entropy of the shift action o…