A boundary quotient diagram for right LCM semigroups
Operator Algebras
2019-02-08 v3 Dynamical Systems
Representation Theory
Abstract
We propose a boundary quotient diagram for right LCM semigroups with property (AR) that generalizes the boundary quotient diagram for the -semigroup over the natural numbers. Our approach focuses on two important subsemigroups: the core subsemigroup and the semigroup of core irreducible elements. The diagram is then employed to unify several case studies on KMS-states, and we end with a discussion on -theoretical aspects of the diagram motivated by recent findings for integral dynamics.
Cite
@article{arxiv.1604.03172,
title = {A boundary quotient diagram for right LCM semigroups},
author = {Nicolai Stammeier},
journal= {arXiv preprint arXiv:1604.03172},
year = {2019}
}