Unitary equivalence of representations of graph algebras and branching systems

DOI10.1007/s10688-011-0013-xzbMath1271.46043arXiv0911.4631OpenAlexW1972275214MaRDI QIDQ366297

Daniel Gonçalves, Danilo Royer

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4631

zbMATH Keywords

representation theoryunitary equivalencegraph \(C^\ast\)-algebras

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory of (C^*)-algebras (46L05)

Related Items (12)

BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS ⋮ Graph \(C^\ast\)-algebras, branching systems and the Perron-Frobenius operator ⋮ 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. ⋮ Representations and the reduction theorem for ultragraph Leavitt path algebras ⋮ Representations of relative Cohn path algebras ⋮ Irreducible and permutative representations of ultragraph Leavitt path algebras ⋮ On graph algebras from interval maps ⋮ Irreducible representations of Leavitt algebras ⋮ Unifying interval maps and branching systems with applications to relative graph \(\mathrm{C}^\ast\)-algebras

Cites Work

• Unnamed Item
• 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
• Representation of spaces of compact operators and applications to the approximation property
• 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
• Laws of Large Numbers for the Occupation Time of an Age-Dependent Critical Binary Branching System
• PSEUDO-CUNTZ ALGEBRA AND RECURSIVE FP GHOST SYSTEM IN STRING THEORY
• The 𝐶*-algebras of infinite graphs

This page was built for publication: Unitary equivalence of representations of graph algebras and branching systems