Details

Autor(en) / Beteiligte

• Afsar, Zahra
• Brownlowe, Nathan
• Larsen, Nadia S
• Stammeier, Nicolai

Titel

Equilibrium States on Right LCM Semigroup $C^$-Algebras

Ist Teil von

• International mathematics research notices, 2019-03, Vol.2019 (6), p.1642-1698

Ort / Verlag

Oxford University Press

Erscheinungsjahr

2019

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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 ${\mathbb{N}} \rtimes {\mathbb{N}}^\times$, 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.