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.
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.
|Full text:||(AM) Accepted Manuscript|
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|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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