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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…
Strength of convergence in the orbit space of a transformation group
Robert Archbold, Astrid an Huef
Let (G, X) be a second-countable transformation group with G acting freely on X. It is shown that measure-theoretic accumulation of the action and topological strength of convergen…
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…
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…
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…
Mansfield's imprimitivity theorem for arbitrary closed subgroups
Astrid an Huef, Iain Raeburn
Let be a nondegenerate coaction of G on a C*-algebra B, and let H be a closed subgroup of G. The dual action of H on is proper and saturated in the sense of Rieffe…