29 citations · 64 across the 20 of their papers we have counts for
22 papers
-graph algebras are iterated Cuntz-Pimsner algebras -- from the bottom up
Valentin Deaconu, Menevşe 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…
Cohomology of ample groupoids
Valentin Deaconu, Marius Ionescu
We introduce a cochain complex for ample groupoids using a flat resolution defining their homology with coefficients in . We prove that the cohomology of th…
Group Actions on Product Systems
Valentin Deaconu, Leonard Huang
We introduce the concept of crossed product of a product system by a locally compact group. We prove that the crossed product of a row-finite and faithful product system by an amen…
Groupoid actions and Koopman representations
Valentin Deaconu, Marius Ionescu
We study the -algebra generated by the Koopman representation of a locally compact groupoid acting on a measure space , where is quasi-invarian…
The Koopman representation for self-similar groupoid actions
Valentin Deaconu
We introduce the -algebra generated by the Koopman representation of an étale groupoid acting on a measure space . We prove that for a level transitive…
Higman-Thompson groups from self-similar groupoid actions
Valentin Deaconu
Given a self-similar groupoid action on a finite directed graph, we prove some properties of the corresponding ample groupoid of germs . We study the analo…