23 citations · 43 across the 9 of their papers we have counts for
16 papers
Covariant representations of Hecke algebras and imprimitivity for crossed products by homogeneous spaces
Astrid an Huef, S. Kaliszewski, Iain Raeburn
For discrete Hecke pairs , we introduce a notion of covariant representation which reduces in the case where is normal to the usual definition of covariance for the acti…
Extension problems for representations of crossed-product C*-algebras
Astrid an Huef, S. Kaliszewski, Iain Raeburn +1
We consider the following problem. Suppose is an action of a locally compact group on a -algebra , is a closed subgroup of , and is a covariant repre…
Exel's Crossed Product and Relative Cuntz-Pimsner Algebras
Nathan Brownlowe, Iain Raeburn
We consider Exel's new construction of a crossed product of a C*-algebra A by an endomorphism α. We prove that this crossed product is universal for an appropriate family of covari…
Fundamental groupoids of k-graphs
David Pask, John Quigg, Iain Raeburn
k-graphs are higher-rank analogues of directed graphs which were first developed to provide combinatorial models for operator algebras of Cuntz-Krieger type. Here we develop a theo…
Extension problems and non-abelian duality for -algebras
Astrid an Huef, S. Kaliszewski, Iain Raeburn
Suppose that is a closed subgroup of a locally compact group . We show that a unitary representation of is the restriction of a unitary representation of if and…
Subquotients of Hecke C^*-algebras
Nathan Brownlowe, Nadia S. Larsen, Ian F. Putnam +1
The Bost-Connes Hecke C^*-algebra can be regarded as a direct limit of subalgebras involving finite sets of primes. Each of these finite-prime analogues of the Bost-Connes algebra…