Equilibrium States on Right LCM Semigroup C*-Algebras

Authors

Zahra Afsar, University of WollongongFollow
Nathan D. Brownlowe, University of SydneyFollow
Nadia S. Larsen, University of Copenhagen, University of Oslo
Nicolai Stammeier, University of Oslo

RIS ID

136871

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.

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 N^x, 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