Graph \(C^\ast\)-algebras, branching systems and the Perron-Frobenius operator

DOI10.1016/J.JMAA.2012.02.051zbMath1250.46036arXiv0908.1055OpenAlexW2963906152MaRDI QIDQ412449

Daniel Gonçalves, Danilo Royer

Publication date: 4 May 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1055

zbMATH Keywords

Perron-Frobenius operatorrepresentationsgraph \(C^\ast\)-algebrasbranching systems

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Graph theory (05C99)

Related Items (13)

BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS ⋮ Irreducibility and monicity for representations of \(k\)-graph \(C^*\)-algebras ⋮ On graded irreducible representations of Leavitt path algebras. ⋮ Representations of \(C^*\)-algebras of row-countable graphs and unitary equivalence ⋮ Branching systems and representations of Cohn-Leavitt path algebras of separated graphs. ⋮ Purely atomic representations of higher-rank graph \(C^*\)-algebras ⋮ Representations and the reduction theorem for ultragraph Leavitt path algebras ⋮ Representations of higher-rank graph \(C^\ast\)-algebras associated to {\(\Lambda\)}-semibranching function systems ⋮ Representations of relative Cohn path algebras ⋮ Irreducible and permutative representations of ultragraph Leavitt path algebras ⋮ Branching systems and general Cuntz–Krieger uniqueness theorem for ultragraph C^*-algebras ⋮ Irreducible representations of Leavitt algebras ⋮ Unifying interval maps and branching systems with applications to relative graph \(\mathrm{C}^\ast\)-algebras

Cites Work

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• Unitary equivalence of representations of graph algebras and branching systems
• On the representations of Leavitt path algebras.
• Efficient simulation of forward-branching systems with constructor systems
• Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras
• The ideal structure of the \(C^*\)-algebras of infinite graphs
• Recursive fermion system in Cuntz algebra. I
• The speed of a branching system of random walks in random environment
• Perron-Frobenius operators and representations of the Cuntz-Krieger algebras for infinite matrices
• Limit theorems for occupation time fluctuations of branching systems. I: long-range dependence
• The Perron-Frobenius operators, invariant measures and representations of the Cuntz-Krieger algebras
• Laws of Large Numbers for the Occupation Time of an Age-Dependent Critical Binary Branching System
• A connection between multiresolution wavelet theory of scale N and representations of the Cuntz algebra O_N
• PSEUDO-CUNTZ ALGEBRA AND RECURSIVE FP GHOST SYSTEM IN STRING THEORY
• The 𝐶*-algebras of infinite graphs

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