17 citations · 17 across the 2 of their papers we have counts for
9 papers
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…
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…
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…
Full duality for coactions of discrete groups
Siegfried Echterhoff, John Quigg
Using the strong relation between coactions of a discrete group G on C*-algebras and Fell bundles over G, we prove a new version of Mansfield's imprimitivity theorem for coactions…
Naturality and Induced Representations
Siegfried Echterhoff, S. Kaliszewski, John Quigg +1
We show that induction of covariant representations for C*-dynamical systems is natural in the sense that it gives a natural transformation between certain crossed-product functors…
Three Bimodules for Mansfield's Imprimitivity Theorem
S. Kaliszewski, John Quigg
There are at least three imprimitivity bimodules naturally associated to a maximal coaction of a discrete group G on a C*-algebra and a normal subgroup of G: Mansfield's bimodule;…