The paper contains a study of the gauge invariant KMS weights for a generalized gauge
action on a graph C⁎-algebra. When the graph is irreducible and has the property that there …

A continuous groupoid homomorphism c on a locally compact second countable Hausdorff
étale groupoid GG gives rise to a C*-dynamical system in which every β β-KMS state can be …

We use Katsura's topological graphs to define Toeplitz extensions of Latrémolière and
Packer's noncommutative-solenoid-algebras. We identify a natural dynamics on each …

We study the equilibrium or KMS states of the Toeplitz C^* C∗-algebra of a finite higher-rank
graph which is reducible. The Toeplitz algebra carries a gauge action of a higher …

Let $ p\colon\mathcal {A}\to G $ be a saturated Fell bundle over a locally compact,
Hausdorff, second countable,{\'e} tale groupoid~ $ G $, and let $\mathrm {C}^*(G;\mathcal …

We start by studying the KMS states of the Toeplitz algebra and graph algebra of a finite
directed graph, each with an a generalised gauge dynamics. We characterise the KMS …

Abstract The Toeplitz algebra TC⁎(Λ) for a finite k-graph Λ is equipped with a continuous
one-parameter group α r for each r∈ R k, obtained by composing the map R∋ t→(eitr 1 …

We construct KMS-states from Li 1-summable semifinite spectral triples and show that in
several important examples the construction coincides with well-known direct constructions …

Abstract Recent results of Laca, Raeburn, Ramagge and Whittaker show that any self-similar
action of a groupoid on a graph determines a 1-parameter family of self-mappings of the …

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