DOI10.1007/s00574-008-0080-7zbMath1173.46035arXivmath/0703182OpenAlexW2098988927MaRDI QIDQ1017988
Ruy Exel
Publication date: 13 May 2009
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0703182
Purely infinite simple \(C^\ast\)-algebras that are principal groupoid \(C^\ast\)-algebras ⋮
Filtering germs: groupoids associated to inverse semigroups ⋮
Inverse semigroups associated with labelled spaces and their tight spectra ⋮
Grätzer-Hofmann-Lawson-Jung-Sünderhauf duality ⋮
The tight groupoid of an inverse semigroup ⋮
The primitive ideals of some étale groupoid \(C^\ast\)-algebras ⋮
Diagonal-preserving isomorphisms of étale groupoid algebras ⋮
Cartan subalgebras in \(C^\ast\)-algebras of Hausdorff étale groupoids ⋮
Subgroups of the group of homeomorphisms of the Cantor space and a duality between a class of inverse monoids and a class of Hausdorff étale groupoids ⋮
Inverse semigroups associated to subshifts ⋮
Inverse semigroups associated with one-dimensional generalized solenoids ⋮
Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs ⋮
On Persson's formula: an étale groupoid approach ⋮
A perspective on non-commutative frame theory ⋮
Representations of étale groupoids on \(L^p\)-spaces ⋮
\(C^\ast\)-algebras of labelled spaces and their diagonal \(C^\ast\)-subalgebras ⋮
MODULES OVER ÉTALE GROUPOID ALGEBRAS AS SHEAVES ⋮
The uniform Roe algebra of an inverse semigroup ⋮
Amenability and paradoxicality in semigroups and \(C^\ast\)-algebras ⋮
Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness ⋮
Coverages on inverse semigroups ⋮
Reconstruction of graded groupoids from graded Steinberg algebras ⋮
Matui's AH conjecture for graph groupoids ⋮
Higher dimensional generalizations of the Thompson groups ⋮
Strongly graded groupoids and strongly graded Steinberg algebras ⋮
Cartan subalgebras for non-principal twisted groupoid \(C^\ast\)-algebras ⋮
Simplicity, primitivity and semiprimitivity of étale groupoid algebras with applications to inverse semigroup algebras ⋮
On inverse semigroup \(C^*\)-algebras and crossed products ⋮
Quantales and Fell bundles ⋮
Inverse semigroup actions as groupoid actions ⋮
TWO-SIDED SHIFT SPACES OVER INFINITE ALPHABETS ⋮
Amenability and uniqueness for groupoids associated with inverse semigroups ⋮
Uniqueness theorems for topological higher-rank graph 𝐶*-algebras ⋮
The interplay between Steinberg algebras and skew rings ⋮
Étale inverse semigroupoids: elementary properties, universal constructions and duality ⋮
Semigroupoid \(C^{*}\)-algebras ⋮
Labelled space \(C^\ast \)-algebras as partial crossed products and a simplicity characterization ⋮
Groupoid models for the \(C^*\)-algebra of labelled spaces ⋮
The interplay between \(k\)-graphs and the Yang-Baxter equation. ⋮
Convex subshifts, separated Bratteli diagrams, and ideal structure of tame separated graph algebras ⋮
UNDECIDABILITY AND THE DEVELOPABILITY OF PERMUTOIDS AND RIGID PSEUDOGROUPS ⋮
On Steinberg algebras of Hausdorff ample groupoids over commutative semirings ⋮
Graded semigroups ⋮
Pseudogroups and their étale groupoids. ⋮
Representations of inverse semigroups and pre-grading \(C^\ast\)-algebra ⋮
The tiling \(C^*\)-algebra viewed as a tight inverse semigroup algebra ⋮
Amenable actions of inverse semigroups ⋮
Some remarks on the inverse semigroup associated to the Cuntz-Li algebras ⋮
Condition (K) for inverse semigroups and the ideal structure of their \(C^{\ast}\)-algebras ⋮
An algebraic approach to the Weyl groupoid ⋮
Dynamical systems associated to separated graphs, graph algebras, and paradoxical decompositions ⋮
Spaces of graphs, boundary groupoids and the coarse Baum-Connes conjecture ⋮
Tight representations of \(0\)-\(E\)-unitary inverse semigroups. ⋮
Graded \(C^*\)-algebras and twisted groupoid \(C^*\)-algebras ⋮
Prime étale groupoid algebras with applications to inverse semigroup and Leavitt path algebras ⋮
The Groupoid Approach to Leavitt Path Algebras ⋮
Étale Groupoids and Steinberg Algebras a Concise Introduction ⋮
Simplicity of inverse semigroup and étale groupoid algebras ⋮
Sofic boundaries of groups and coarse geometry of sofic approximations ⋮
Twisted Steinberg algebras ⋮
Homotopy invariance through small stabilizations ⋮
Tight and cover-to-join representations of semilattices and inverse semigroups ⋮
On a class of inverse semigroups related to Leavitt path algebras ⋮
\(C^\ast\)-algebras associated to Boolean dynamical systems ⋮
A generalized uniqueness theorem and the graded ideal structure of Steinberg algebras ⋮
Partial actions and subshifts ⋮
Recent developments around partial actions ⋮
Equivalent groupoids have Morita equivalent Steinberg algebras. ⋮
A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY ⋮
Reconstructing a totally disconnected groupoid from its ample semigroup ⋮
Aperiodicity and cofinality for finitely aligned higher-rank graphs ⋮
Cyclic homology, tight crossed products, and small stabilizations ⋮
Reduced \(C^*\)-algebras of Fell bundles over inverse semigroups ⋮
Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems ⋮
Structure for regular inclusions. II: Cartan envelopes, pseudo-expectations and twists ⋮
Locally Hausdorff tight groupoids generalised ⋮
Self-similar graphs, a unified treatment of Katsura and Nekrashevych \(C^\ast\)-algebras ⋮
Tight representations of semilattices and inverse semigroups. ⋮
Independent resolutions for totally disconnected dynamical systems. I: Algebraic case ⋮
An algebraic analogue of Exel-Pardo \(C^\ast\)-algebras ⋮
K-theory and homotopies of twists on ample groupoids ⋮
The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations ⋮
Recent developments in inverse semigroup theory ⋮
RECOVERING THE BOUNDARY PATH SPACE OF A TOPOLOGICAL GRAPH USING POINTLESS TOPOLOGY ⋮
Non-Hausdorff étale groupoids ⋮
Hausdorff tight groupoids generalised ⋮
Boundary maps, germs and quasi-regular representations ⋮
The ideal structure of Steinberg algebras ⋮
Simple Lie algebras arising from Steinberg algebras of Hausdorff ample groupoids ⋮
Ideals of étale groupoid algebras and Exel's Effros-Hahn conjecture ⋮
Homology of étale groupoids a graded approach ⋮
Congruence-simplicity of Steinberg algebras of non-Hausdorff ample groupoids over semifields ⋮
Boundary path groupoids of generalized Boolean dynamical systems and their \(C^{\ast}\)-algebras ⋮
A groupoid approach to discrete inverse semigroup algebras ⋮
Refinement monoids and adaptable separated graphs ⋮
The dynamics of partial inverse semigroup actions ⋮
Haar systems, KMS states on von Neumann algebras and \(C^*\)-algebras on dynamically defined groupoids and noncommutative integration ⋮
Topological dynamics of groupoid actions ⋮
\(K\)-theory for semigroup \(C^*\)-algebras and partial crossed products ⋮
The boundary quotient for algebraic dynamical systems
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