23 citations · 43 across the 9 of their papers we have counts for
5 papers · 1 filter
Representations of Hecke algebras and dilations of semigroup crossed products
Nadia S. Larsen, Iain Raeburn
We consider a family of Hecke C*-algebras which can be realised as crossed products by semigroups of endomorphisms. We show by dilating representations of the semigroup crossed pro…
The ideal structure of the C*-algebras of infinite graphs
Teresa Bates, Jeong Hee Hong, Iain Raeburn +1
We classify the gauge-invariant ideals in the C*-algebras of infinite directed graphs, and describe the quotients as graph algebras. We then use these results to identify the gauge…
Higher-rank graphs and their C*-algebras
Iain Raeburn, Aidan Sims, Trent Yeend
We consider the higher-rank graphs introduced by Kumjian and Pask as models for higher-rank Cuntz-Krieger algebras. We describe a variant of the Cuntz-Krieger relations which appli…
Proper actions on imprimitivity bimodules and decompositions of Morita equivalences
Astrid an Huef, Iain Raeburn, Dana P. Williams
We consider a class of proper actions of locally compact groups on imprimitivity bimodules over C*-algebras which behave like the proper actions on C*-algebras introduced by Rieffe…
Classification theorems for the C*-algebras of graphs with sinks
Iain Raeburn, Mark Tomforde, Dana P. Williams
We consider graphs E which have been obtained by adding one or more sinks to a fixed directed graph G. We classify the C*-algebra of E up to a very strong equivalence relation, whi…