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arXiv · 1604.03172

A boundary quotient diagram for right LCM semigroups

Nicolai Stammeier
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Abstract

We propose a boundary quotient diagram for right LCM semigroups with property (AR) that generalizes the boundary quotient diagram for the $ax+b$-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 $K$-theoretical aspects of the diagram motivated by recent findings for integral dynamics.

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Nicolai Stammeier. 2016-04-11. A boundary quotient diagram for right LCM semigroups. https://doi.org/10.1007/s00233-017-9850-0

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