Classification of Graph Algebras: A Selective Survey

DOI10.1007/978-3-319-39286-8_14zbMath1375.46043arXiv1603.06174OpenAlexW2309559705MaRDI QIDQ5269306

Mark Tomforde

Publication date: 15 June 2017

Published in: Operator Algebras and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06174

zbMATH Keywords

classification\(K\)-theoryMorita equivalenceLeavitt path algebrasgraph \( C^{\ast}\)-algebras

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Classifications of (C^*)-algebras (46L35)

Related Items (1)

Graded \(K\)-theory, filtered \(K\)-theory and the classification of graph algebras

Cites Work

• Unnamed Item
• Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras
• Leavitt path algebras with coefficients in a commutative ring.
• Flow invariants in the classification of Leavitt path algebras.
• A class of C*-algebras and topological Markov chains
• K-theory for certain C*-algebras
• Classification of Cuntz-Krieger algebras
• A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
• \(K\)-theory for Leavitt path algebras: computation and classification.
• Classification of unital simple Leavitt path algebras of infinite graphs.
• The Leavitt path algebra of a graph.
• The Cuntz splice does not preserve \(\ast\)-isomorphism of Leavitt path algebras over \(\mathbb{Z}\)
• On the classification of nonsimple graph \(C^{*}\)-algebras
• Geometric classification of simple graph algebras
• C*-Algebras over Topological Spaces: Filtrated K-Theory
• Regularity properties in the classification program for separable amenable C*-algebras
• The range of K-Invariants for C*-Algebras of infinite graphs
• An Introduction to Symbolic Dynamics and Coding
• Viewing AF-algebras as graph algebras
• Classification of Graph C ∗-Algebras with No More than Four Primitive Ideals

This page was built for publication: Classification of Graph Algebras: A Selective Survey