76 citations · 490 across the 73 of their papers we have counts for
6 papers · 1 filter
Stacey crossed products associated to Exel systems
Astrid an Huef, Iain Raeburn
There are many different crossed products by an endomorphism of a C*-algebra, and constructions by Exel and Stacey have proved particularly useful. Here we show that every Exel cro…
On some fundamental results about higher-rank graphs and their C*-algebras
Robert Hazlewood, Iain Raeburn, Aidan Sims +1
Results of Fowler and Sims show that every k-graph is completely determined by its k-coloured skeleton and collection of commuting squares. Here we give an explicit description of…
Exel and Stacey crossed products, and Cuntz-Pimsner algebras
Astrid an Huef, Iain Raeburn
There are many different crossed products by an endomorphism of a C*-algebra, and constructions by Exel and Stacey have proved particularly useful. Here we show that every Exel cro…
Kumjian-Pask algebras of higher-rank graphs
Gonzalo Aranda Pino, John Clark, Astrid an Huef +1
We introduce higher-rank analogues of the Leavitt path algebras, which we call the Kumjian-Pask algebras. We prove graded and Cuntz-Krieger uniqueness theorems for these algebras,…
Naturality of Symmetric Imprimitivity Theorems
Astrid an Huef, S. Kaliszewski, Iain Raeburn +1
The first imprimitivity theorems identified the representations of groups or dynamical systems which are induced from representations of a subgroup. Symmetric imprimitivity theorem…
Phase transition on Exel crossed products assocaited to dilation matrices
Marcelo Laca, Iain Raeburn, Jacqui Ramagge
An integer matrix induces a covering of $\T^d$ and an endomorphism of $C(\T^d)$ for which there is a natural transfer operator . I…