10 citations · 13 across the 4 of their papers we have counts for
7 papers
C*-Algebras of one-sided subshifts over arbitrary alphabets
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
We associate a C*-algebra with a subshift over an arbitrary, possibly infinite, alphabet. We show that …
Étale categories, restriction semigroups, and their operator algebras
Natã Machado, Gilles G. de Castro
We define the full and reduced non-self-adjoint operator algebras associated with étale categories and restriction semigroups, answering a question posed by Kudryavtseva and Lawson…
Algebras of one-sided subshifts over arbitrary alphabets
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
We introduce two algebras associated with a subshift over an arbitrary alphabet. One is unital and the other not necessarily. We focus on the unital case and describe a conjugacy b…
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…
Haar systems, KMS states on von Neumann algebras and -algebras on dynamically defined groupoids and Noncommutative Integration
Gilles G. de Castro, Artur O. Lopes, Gabriel Mantovani
We analyse certain Haar systems associated to groupoids obtained by certain natural equivalence relations of dynamical nature on sets like , $\{1,2,...,d\…
KMS and ground states on ultragraph C*-algebras
Gilles Gonçalves de Castro, Daniel Gonçalves
We describe KMS and ground states arising from a generalized gauge action on ultragraph C*-algebras. We focus on ultragraphs that satisfy Condition~(RFUM), so that we can use the p…