Stability of $\boldsymbol {C^*}$-algebras associated to graphs

DOI10.1090/S0002-9939-04-07411-8zbMath1043.46047arXivmath/0205166MaRDI QIDQ4461167

Mark Tomforde

Publication date: 29 March 2004

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

Full work available at URL: https://arxiv.org/abs/math/0205166

zbMATH Keywords

stabilitygraph \(C^*\)-algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items

The complete classification of unital graph \(C^{\ast}\)-algebras: geometric and strong, Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras, Exchange Leavitt path algebras and stable rank, On the classification of nonsimple graph \(C^{*}\)-algebras, Diagonal-preserving gauge-invariant isomorphisms of graph \(C^{\ast}\)-algebras, Amplified graph C*-algebras II: Reconstruction, Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph 𝐶*-algebras and Leavitt path algebras, TRACES ARISING FROM REGULAR INCLUSIONS, Topological full groups of ample groupoids with applications to graph algebras, The nuclear dimension of graph \(C^\ast\)-algebras, Diagonal-preserving graded isomorphisms of Steinberg algebras, Isomorphism and Morita equivalence of graph algebras, Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids, A groupoid approach toC*-algebras associated withλ-graph systems and continuous orbit equivalence of subshifts, A CLASS OF C*-ALGEBRAS GENERALIZING BOTH GRAPH ALGEBRAS AND HOMEOMORPHISM C*-ALGEBRAS II, EXAMPLES, STABLE RANK OF LEAVITT PATH ALGEBRAS OF ARBITRARY GRAPHS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Graphs, groupoids, and Cuntz-Krieger algebras
• Cuntz-Krieger algebras of directed graphs
• Traces on simple AF C*-algebras
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• Dimension functions on simple \(C^*\)-algebras
• On stability of \(C^*\)-algebras
• The ideal structure of the \(C^*\)-algebras of infinite graphs
• The \(C^*\)-algebras of row-finite graphs
• The \(C^*\)-algebras of arbitrary graphs
• The 𝐶*-algebras of infinite graphs