6 papers
Morita equivalence of graded C*-algebras
John Quigg, Efren Ruiz, Aidan Sims
We define two notions of Morita equivalence for graded C*-algebras (graded Morita equivalence and homogeneous Morita equivalence) and provide Brown-Green-Rieffel Stabilization Type…
-graph algebras are iterated Cuntz-Pimsner algebras -- from the bottom up
Valentin Deaconu, MenevÅe Eryüzlü Paulovicks, S. Kaliszewski +1
We introduce a new method of expressing a -graph -algebra as a Cuntz-Pimsner algebra. Kumjian, Pask, and Sims have done this directly, using a linking algebra approach and…
Comparing Two Notions of Coaction Invariance of Ideals in -Algebras
Matthew Gillespie, Benjamin Jones, S. Kaliszewski +1
Given a coaction of a locally compact group on a -algebra , we study the relationship between two different forms of coaction invariance of ideals of …
On groupoid-graded C*-algebras and equivalent subcategories linked via monads and comonads
Erik Bédos, S. Kaliszewski, John Quigg
We present a new method, involving monads and comonads from category theory, to help establish a certain type of equivalence of subcategories. As a case study we consider the categ…
Fell bundle ladder
S. Kaliszewski, John Quigg, Dana P. Williams
We use the Ladder Technique to establish bijections between the ideals of related Fell bundles.
Gluing topological graph C*-algebras
Atul Gothe, John Quigg, Mariusz Tobolski
We introduce regular closed subgraphs of Katsura's topological graphs and use them to generalize the notion of an adjunction space from topology. Our construction attaches a topolo…