49 citations · 126 across the 18 of their papers we have counts for
19 papers
The local bisection hypothesis for twisted groupoid C*-algebras
Becky Armstrong, Jonathan H. Brown, Lisa Orloff Clark +4
In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid being effective. One of these conditions is that satisfies the "C*-algebraic l…
Equilibrium on Toeplitz extensions of higher dimensional noncommutative tori
Zahra Afsar, Marcelo Laca, Jacqui Ramagge +1
The C*-algebra generated by the left-regular representation of twisted by a -cocycle is a Toeplitz extension of an -dimensional noncommutative torus, on which…
Reconstruction of twisted Steinberg algebras
Becky Armstrong, Gilles G. de Castro, Lisa Orloff Clark +6
We show how to recover a discrete twist over an ample Hausdorff groupoid from a pair consisting of an algebra and what we call a quasi-Cartan subalgebra. We identify precisely whic…
Twisted Steinberg algebras
Becky Armstrong, Lisa Orloff Clark, Kristin Courtney +3
We introduce twisted Steinberg algebras over a commutative unital ring . These generalise Steinberg algebras and are a purely algebraic analogue of Renault's twisted groupoid C*…
C*-algebras of self-similar actions of groupoids on higher-rank graphs and their equilibrium states
Zahra Afsar, Nathan Brownlowe, Jacqui Ramagge +1
We introduce the notion of a self-similar action of a groupoid on a finite higher-rank graph. To these actions we associate a compactly aligned product system of Hilbert bimodu…
-algebras of right LCM monoids and their equilibrium states
Nathan Brownlowe, Nadia S. Larsen, Jacqui Ramagge +1
We study the internal structure of -algebras of right LCM monoids by means of isolating the core semigroup -algebra as the coefficient algebra of a Fock-type module on wh…