Abelian core of graph algebras

DOI10.1112/jlms/jdr073zbMath1251.46029OpenAlexW2001617482MaRDI QIDQ2890317

Sarah A. Reznikoff, Gabriel B. Nagy

Publication date: 8 June 2012

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdr073

zbMATH Keywords

Cuntz-Krieger uniqueness theoremgraph \(C^*\)-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30)

Related Items (18)

Construction of a class of maximal commutative subalgebras of prime Leavitt path algebras ⋮ Diagonal-preserving ring \(\ast\)-isomorphisms of Leavitt path algebras ⋮ Cartan subalgebras in \(C^\ast\)-algebras of Hausdorff étale groupoids ⋮ The Cuntz splice does not preserve \(\ast\)-isomorphism of Leavitt path algebras over \(\mathbb{Z}\) ⋮ The commutative core of a Leavitt path algebra ⋮ PERIODIC -GRAPH ALGEBRAS REVISITED ⋮ Cartan subalgebras for non-principal twisted groupoid \(C^\ast\)-algebras ⋮ Regular ideals, ideal intersections, and quotients ⋮ Maximal commutative subalgebras of Leavitt path algebras ⋮ Leavitt path algebras of labelled graphs ⋮ Visualizing Automorphisms of Graph Algebras ⋮ TRACES ARISING FROM REGULAR INCLUSIONS ⋮ A generalized Cuntz-Krieger uniqueness theorem for higher-rank graphs ⋮ Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems ⋮ Cycline subalgebras of 𝑘-graph C*-algebras ⋮ Pseudo-diagonals and uniqueness theorems ⋮ A note on the centralizer of a subalgebra of the Steinberg algebra ⋮ Leavitt \(R\)-algebras over countable graphs embed into \(L_{2,R}\).

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