Equilibrium States on Right LCM Semigroup C*-Algebras

被引：13

作者：

Afsar, Zahra ^{[1
]}

Brownlowe, Nathan ^{[2
]}

Larsen, Nadia S. ^{[3
]}

Stammeier, Nicolai ^{[3
]}

机构：

[1] Univ Wollongong, Sch Math & Appl Stat, Northfields Ave, Wollongong, NSW 2522, Australia

[2] Univ Sydney, Sch Math & Stat, Eastern Ave, Camperdown, NSW 2006, Australia

[3] Univ Oslo, Dept Math, Moltke Moes Vei 35,POB 1053, NO-0316 Oslo, Norway

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2019年 / 2019卷 / 06期

基金：

欧洲研究理事会; 澳大利亚研究理事会;

关键词：

PHASE-TRANSITION;

D O I：

10.1093/imrn/rnx162

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1642 / 1698

页数：57

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