10 citations · 27 across the 9 of their papers we have counts for
7 papers · 1 filter
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…
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…
C*-algebras of labelled spaces and their diagonal C*-subalgebras
Giuliano Boava, Gilles G. de Castro, Fernando de L. Mortari
Motivated by Exel's inverse semigroup approach to combinatorial C*-algebras, in a previous work the authors defined an inverse semigroup associated with a labelled space. We constr…
KMS states for the generalized gauge action on graph algebras
Gilles de Castro, Fernando Mortari
Given a positive function on the set of edges of an arbitrary directed graph , we define a one-parameter group of automorphisms on the C*-algebra of the graph …
KMS States, Entropy and a Variational Principle for Pressure
Gilles G. de Castro, Artur O. Lopes
We want to relate the concepts of entropy and pressure to that of KMS states for -Algebras. Several different definitions of entropy are known in our days. The one we describe…
C*-Algebras Associated with Iterated Function Systems
Gilles G. de Castro
We review Kajiwara and Watatani's construction of a C*-algebra from an iterated function system (IFS). If the IFS satisfies the finite branch condition or the open set condition, w…