76 citations · 490 across the 73 of their papers we have counts for
5 papers · 2 filters
KMS states on -algebras associated to higher-rank graphs
Astrid an Huef, Marcelo Laca, Iain Raeburn +1
Consider a higher-rank graph of rank k. Both the Cuntz-Krieger algebra and the Toeplitz-Cuntz-Krieger algebra of the graph carry natural gauge actions of the torus T^k, and restric…
The equivalence relations of local homeomorphisms and Fell algebras
Lisa Orloff Clark, Astrid an Huef, Iain Raeburn
We study the groupoid C*-algebras associated to the equivalence relation induced by a quotient map on a locally compact Hausdorff space. This C*-algebra is always a Fell algebra, a…
KMS states on the C*-algebras of finite graphs
Astrid an Huef, Marcelo Laca, Iain Raeburn +1
We consider a finite directed graph E, and the gauge action on its Toeplitz-Cuntz-Krieger algebra, viewed as an action of R. For inverse temperatures larger than a critical value β…
Two families of Exel-Larsen crossed products
Nathan Brownlowe, Iain Raeburn
Larsen has recently extended Exel's construction of crossed products from single endomorphisms to abelian semigroups of endomorphisms, and here we study two families of her crossed…
Skew-products of higher-rank graphs and crossed products by semigroups
Ben Maloney, David Pask, Iain Raeburn
We consider a free action of an Ore semigroup on a higher-rank graph, and the induced action by endomorphisms of the -algebra of the graph. We show that the crossed product by…