KMS states on right LCM semigroup C*-algebras

Nadia Larsen
(Oslo University)
Torsdag, 27 april, 2017, at 15:15-16:00, in Aud. D3 (1531-215)
C*-algebras that reflect algebraic structure of semigroups through families of isometries have been studied for a long time. In the past decade, motivated by examples arising in number theory, a general construction of C*-algebras associated to left cancellative semigroups  was proposed by Li. Brownlowe, Ramagge, Robertson and Whittaker put forward the class of right LCM semigroups, and supplied many examples by means of the Zappa-Szep product construction. One remarkable feature of C*-algebras that contain families of isometries is that they tend to admit canonical time evolutions and interesting structure of associated KMS states.  I will discuss the KMS state structure for a dynamics in the setup of the full C*-algebra of so-called admissible right LCM semigroups, and illustrate how internal structural properties of the semigroup influence behaviour of the KMS states. This is joint work with Afsar, Brownlowe and Stammeier.

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