A program for finding all KMS states on the Toeplitz algebra of a higher-rank graph

James Fletcher, Astrid an Huef, Iain Raeburn

The Toeplitz algebra of a finite graph of rank $k$ carries a natural action of the torus ${\mathbb{T}}^k$, and composing with an embedding of $\mathbb{R}$ in ${\mathbb{T}}^k$ gives…