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. Download PDF (578Kb) |
| 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 |
Save or Share this output
| Export: | |
| Look up in GoogleScholar |
