130 citations · 409 across the 79 of their papers we have counts for
88 papers
Dynamics in large scale geometry
Bruno de Mendonça Braga, Alcides Buss, Ruy Exel
We investigate the large scale geometry of certain metric spaces through the lens of dynamics. Our approach establishes a close connection between large scale dynamical phenomena a…
Consonant inverse semigroups
Ruy Exel
We study necessary and sufficient conditions for two inverse semigroups to possess identical tight groupoids from the point of view of their algebraic, topological, and spectral or…
Twisted Steinberg algebras, regular inclusions and induction
M. Dokuchaev, R. Exel, H. Pinedo
Given a field and an ample (not necessarily Hausdorff) groupoid , we define the concept of a line bundle over inspired by the well known concept from the theory of C*-al…
Flows on uniform Roe algebras
Bruno de Mendonça Braga, Alcides Buss, Ruy Exel
For a uniformly locally finite metric space , we investigate \emph{coarse} flows on its uniform Roe algebra , defined as one-parameter groups of automorp…
KMS states on uniform Roe algebras
Bruno de Mendonça Braga, Ruy Exel
We initiate the treatment of KMS states on uniform Roe algebras for a class of naturally occurring flows on these algebras. We show that KMS states on $\mathrm{…
Regular ideals under the ideal intersection property
Ruy Exel
The goal of this short note is to prove that when is a closed *-subalgebra of a C*-algebra satisfying the ideal intersection property plus a mild axiom (INV), then the map…