Title
Equilibrium States on Right LCM Semigroup C*-Algebras
RIS ID
136871
Abstract
We determine the structure of equilibrium states for a natural dynamics on the boundary quotient diagram of C∗-algebras for a large class of right LCM semigroups. The approach is based on abstract properties of the semigroup and covers the previous case studies on N x Nx, dilation matrices, self-similar actions, and Baumslag-Solitar monoids. At the same time, it provides new results for right LCM semigroups associated to algebraic dynamical systems.
Grant Number
ARC/DP150101595
Publication Details
Afsar, Z., Brownlowe, N., Larsen, N. S. & Stammeier, N. (2019). Equilibrium States on Right LCM Semigroup C*-Algebras. International Mathematics Research Notices, 2019 (6), 1642-1698.