5 citations · 6 across the 7 of their papers we have counts for
11 papers
Graded Locally Finite and Just Infinite Steinberg Algebras
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
We study graded locally finite and graded just infinite Steinberg algebras of ample Hausdorff groupoids. For gradings by discrete groups induced by a cocycle, we characterize finit…
The dynamical structure of partial group algebras with relations, with applications to subshift algebras
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
We introduce partial group algebras with relations in a purely algebraic framework. Given a group and a set of relations, we define an algebraic partial action and prove that the r…
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 …
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…
Leavitt path algebras of labelled graphs
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
A Leavitt labelled path algebra over a commutative unital ring is associated with a labelled space, generalizing Leavitt path algebras associated with graphs and ultragraphs as wel…
Infinite sum relations on universal C*-algebras
Giuliano Boava, Gilles G. de Castro
We extend the usual theory of universal C*-algebras from generators and relations in order to allow some relations to be described using the strong operator topology. In particular…
Groupoid models for the C*-algebra of labelled spaces
Giuliano Boava, Gilles G. de Castro, Fernando de L. Mortari
We define a groupoid from a labelled space and show that it is isomorphic to the tight groupoid arising from an inverse semigroup associated with the labelled space. We then define…
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…
Inverse semigroups associated with labelled spaces and their tight spectra
Giuliano Boava, Gilles de Castro, Fernando de L. Mortari
The notion of a labelled space was introduced by Bates and Pask in generalizing certain classes of C*-algebras. Motivated by Exel's work on inverse semigroups and combinatorial C*-…
A remark on contracting inverse semigroups
Giuliano Boava, Ruy Exel
A semi-lattice is said to be tree-like when any two of its elements are either orthogonal or comparable. Given an inverse semigroup S whose idempotent semi-lattice is tree-like, an…
Partial crossed product description of the C*-algebras associated with integral domains
Giuliano Boava, Ruy Exel
Recently, Cuntz and Li introduced the C^*-algebra A[R] associated to an integral domain R with finite quotients. In this paper, we show that A[R] is a partial group algebra of the…