23 citations · 43 across the 9 of their papers we have counts for
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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…
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…
Twisted actions and the obstruction to extending unitary representations of subgroups
Astrid an Huef, Iain Raeburn
Suppose that is a locally compact group and is a (not necessarily irreducible) unitary representation of a closed normal subgroup of on a Hilbert space . We exte…