All finite transitive graphs admit a self-adjoint free semigroupoid algebra
DOI10.1017/prm.2020.20zbMath1473.05105arXiv1811.11058OpenAlexW3102819012MaRDI QIDQ4965419
Christopher Linden, Adam Dor-On
Publication date: 1 March 2021
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.11058
directed graphsgraph algebraperiodiccyclic decompositionCuntz-Krieger familyroad colouringfree semigroupoid algebra
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20) Representations of (nonselfadjoint) operator algebras (47L55) Operator algebras with symbol structure (47L15) Graph operations (line graphs, products, etc.) (05C76)
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Cites Work
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- Cuntz-Krieger algebras and wavelets on fractals
- Representations of Hardy algebras: Absolute continuity, intertwiners, and superharmonic operators
- Absolutely continuous representations and a Kaplansky density theorem for free semigroup algebras
- The road coloring problem
- A class of C*-algebras and topological Markov chains
- The algebraic structure of non-commutative analytic Toeplitz algebras
- Noncommutative interpolation and Poisson transforms
- Structure of free semigroupoid algebras
- A quadratic algorithm for road coloring
- Type I \(C^ *\)-algebras
- The structure of free smigroup algebras
- Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures
- Wandering vectors and the reflexivity of free semigroup algebras
- ℬ(ℋ) is a free semigroup algebra
- Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
- Iterated function systems and permutation representations of the Cuntz algebra
- Applications of the Wold decomposition to the study of row contractions associated with directed graphs
- Non-commutative disc algebras and their representations
- The structure of an isometric tuple
- Similarity of automorphisms of the torus
