Cartan subalgebras in \(C^\ast\)-algebras of Hausdorff étale groupoids
From MaRDI portal
Publication:2629361
DOI10.1007/s00020-016-2285-2zbMath1360.46046arXiv1503.03521OpenAlexW3099227031MaRDI QIDQ2629361
Jonathan H. Brown, Dana P. Williams, Sarah A. Reznikoff, Aidan Sims, Gabriel B. Nagy
Publication date: 6 July 2016
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.03521
(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)
Related Items (24)
Reconstruction of groupoids and \(C^\ast \)-rigidity of dynamical systems ⋮ \(C^\ast\)-algebras of extensions of groupoids by group bundles ⋮ Diagonal-preserving ring \(\ast\)-isomorphisms of Leavitt path algebras ⋮ A uniqueness theorem for twisted groupoid \(C^{*}\)-algebras ⋮ Cartan subalgebras for non-principal twisted groupoid \(C^\ast\)-algebras ⋮ Amenability and uniqueness for groupoids associated with inverse semigroups ⋮ Regular ideals, ideal intersections, and quotients ⋮ \(\mathrm{C}^\ast\)-algebras. Abstracts from the workshop held August 7--13, 2022 ⋮ SIMPLICITY OF TWISTED C*-ALGEBRAS OF TOPOLOGICAL HIGHER-RANK GRAPHS ⋮ TRACES ARISING FROM REGULAR INCLUSIONS ⋮ Condition (K) for inverse semigroups and the ideal structure of their \(C^{\ast}\)-algebras ⋮ Topological full groups of ample groupoids with applications to graph algebras ⋮ KMS states of self-similar \(k\)-graph \(C^*\)-algebras ⋮ A generalized uniqueness theorem and the graded ideal structure of Steinberg algebras ⋮ Spectral triples and wavelets for higher-rank graphs ⋮ Reduced \(C^*\)-algebras of Fell bundles over inverse semigroups ⋮ Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems ⋮ Cohomology for small categories: \(k\)-graphs and groupoids ⋮ Cycline subalgebras of 𝑘-graph C*-algebras ⋮ Asymptotic continuous orbit equivalence of expansive systems ⋮ Simplicity of algebras associated to non-Hausdorff groupoids ⋮ Isomorphism of the cubical and categorical cohomology groups of a higher-rank graph ⋮ Intermediate C*-algebras of Cartan embeddings ⋮ A note on the centralizer of a subalgebra of the Steinberg algebra
Cites Work
- Unnamed Item
- Unnamed Item
- Twisted \(C^*\)-algebras associated to finitely aligned higher-rank graphs
- A Dixmier-Douady theorem for Fell algebras
- Graphs, groupoids, and Cuntz-Krieger algebras
- Inverse semigroups and combinatorial \(C^*\)-algebras
- Cuntz-Krieger algebras of directed graphs
- A groupoid approach to C*-algebras
- A class of C*-algebras and topological Markov chains
- Crossed products of the Cantor set by free minimal actions of \(\mathbb Z^d\)
- Higher rank graph \(C^*\)-algebras
- Simplicity of algebras associated to étale groupoids
- Fourier series and twisted \(C^*\)-crossed products
- The primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources
- A generalized Cuntz-Krieger uniqueness theorem for higher-rank graphs
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- Pseudo-diagonals and uniqueness theorems
- Abelian core of graph algebras
- Topological Amenability Is a Borel Property
- Cartan subalgebras in C*-algebras
- Extensions, Restrictions, and Representations of States on C ∗ - Algebras
- Continuous-trace groupoid 𝐶*-algebras. III
- GENERAL CUNTZ–KRIEGER UNIQUENESS THEOREM
This page was built for publication: Cartan subalgebras in \(C^\ast\)-algebras of Hausdorff étale groupoids