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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…
Mansfield's imprimitivity theorem for full crossed products
S. Kaliszewski, John Quigg
For any maximal coaction (A, G, delta) and any closed normal subgroup N of G, there exists an imprimitivity bimodule Y between the full crossed product A x G x N and A x G/N, toget…
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…
A Categorical Approach to Imprimitivity Theorems for C*-Dynamical Systems
Siegfried Echterhoff, S. Kaliszewski, John Quigg +1
Imprimitivity theorems provide a fundamental tool for studying the representation theory and structure of crossed-product C*-algebras. In this work, we show that the Imprimitivity…
Maximal Coactions
Siegfried Echterhoff, S. Kaliszewski, John Quigg
A coaction d of a locally compact group G on a C*-algebra A is maximal if a certain natural map from A times_d G times_{d hat} G onto A otimes K(L^2(G)) is an isomorphism. All dual…