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$C^*$-algebras of right LCM monoids and their equilibrium states.

Brownlowe, Nathan and Larsen, Nadia S. and Ramagge, Jacqui and Stammeier, Nicolai (2020) '$C^*$-algebras of right LCM monoids and their equilibrium states.', Transactions of the American Mathematical Society., 373 (7). pp. 5235-5273.

Abstract

We study the internal structure of C-algebras of right LCM monoids by means of isolating the core semigroup C-algebra as the coecient algebra of a Fock-type module on which the full semigroup C-algebra admits a left action. If the semigroup has a generalised scale, we classify the KMS-states for the associated time evolution on the semigroup C-algebra, and provide sucient conditions for uniqueness of the KMS-state at inverse temperature in a critical interval.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1090/tran/8097
Publisher statement:This paper is available under a CC BY-NC-ND Creative Commons Licence.
Date accepted:No date available
Date deposited:09 July 2020
Date of first online publication:28 April 2020
Date first made open access:09 July 2020

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