Unifying interval maps and branching systems with applications to relative graph \(\mathrm{C}^\ast\)-algebras
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Publication:2097563
DOI10.1016/j.jmaa.2022.126757OpenAlexW4304688615MaRDI QIDQ2097563
Publication date: 14 November 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.09014
representationinterval maptransition matrixbranching systemsrelative graph \(\mathrm{C}^\ast\)-algebra
General theory of (C^*)-algebras (46L05) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Dynamical systems and the theory of (C^*)-algebras (37A55)
Cites Work
- Partial actions and KMS states on relative graph \(C^\ast\)-algebras
- Unitary equivalence of representations of graph algebras and branching systems
- Graph \(C^\ast\)-algebras, branching systems and the Perron-Frobenius operator
- Branching systems and representations of Cohn-Leavitt path algebras of separated graphs.
- Adding tails to \(C^*\)-correspondences
- Purely atomic representations of higher-rank graph \(C^*\)-algebras
- Toeplitz algebras arising from escape points of interval maps
- Leavitt path algebras
- Escape dynamics for interval maps
- Representations of relative Cohn path algebras
- On graph algebras from interval maps
- Cuntz-Krieger algebras representations from orbits of interval maps
- Faithful Representations of Graph Algebras via Branching Systems
- Branching systems and general Cuntz–Krieger uniqueness theorem for ultragraph C*-algebras
- BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS
- Representations of finite groups and Cuntz-Krieger algebras
- Relative Cuntz-Krieger algebras of finitely aligned higher-rank graphs
- Irreducibility and monicity for representations of \(k\)-graph \(C^*\)-algebras
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