SMS scnews item created by Boris Lishak at Mon 25 Feb 2019 1119
Type: Seminar
Distribution: World
Calendar1: 26 Feb 2019 1400-1500
CalLoc1: Carslaw 535A
CalTitle1: Laca -- Equilibrium and monoidal growth
Auth: borisl@ (blis3801) in SMS-WASM

Geometry and Topology Seminar

Equilibrium and monoidal growth

Marcelo Laca (Victoria)

Please join us for lunch before the talk. We are meeting at 12:30 on Carslaw level 2.


Each multiplicative real-valued homomorphism on a quasi-lattice ordered monoid gives rise to a quasi-periodic dynamics on the associated Toeplitz C*-algebra. We study the KMS equilibrium states of the resulting C*-dynamical system and, as a byproduct, we obtain a proof of the inversion formula for the growth series of a quasi-lattice ordered monoid in terms of the clique polynomial as in recent work of Albenque–Nadeau and McMullen for the finitely generated case, and in terms of the skew-growth series as in recent work of Saito.