130 citations · 429 across the 76 of their papers we have counts for
10 papers · 1 filter
Categorical perspectives in noncommutative duality
S. Kaliszewski, John Quigg
Noncommutative duality for C*-dynamical systems is a vast generalization of Pontryagin duality for locally compact abelian groups. In this series of lectures, we give an introducti…
Exotic group C*-algebras in noncommutative duality
S. Kaliszewski, Magnus B. Landstad, John Quigg
We show that for a locally compact group G there is a one-to-one correspondence between G-invariant weak*-closed subspaces E of the Fourier-Stieltjes algebra B(G) containing B_r(G)…
Cuntz-Li algebras from a-adic numbers
S. Kaliszewski, Tron Omland, John Quigg
The a-adic numbers are those groups that arise as Hausdorff completions of noncyclic subgroups of the rational numbers. We give a crossed product construction of (stabilized) Cuntz…
Fell bundles and imprimitivity theorems: Mansfield's and Fell's theorems
S. Kaliszewski, Paul S. Muhly, John Quigg +1
In the third and latest paper in this series, we recover the imprimitivity theorems of Mansfield and Fell using our technique of Fell bundles over groupoids. Also, we apply the Rie…
Fell bundles and imprimitivity theorems: towards a universal generalized fixed point algebra
S. Kaliszewski, Paul S. Muhly, John Quigg +1
We apply the One-Sided Action Theorem from the first paper in this series to prove that Rieffel's Morita equivalence between the reduced crossed product by a proper saturated actio…
Topological realizations and fundamental groups of higher-rank graphs
S. Kaliszewski, Alex Kumjian, John Quigg +1
We investigate topological realizations of higher-rank graphs. We show that the fundamental group of a higher-rank graph coincides with the fundamental group of its topological rea…