You can see the arrows in a quiver operator algebra

DOI10.1017/S1446788700010181zbMath1156.47313arXivmath/0309420OpenAlexW2098069093MaRDI QIDQ4658829

Baruch Solel

Publication date: 21 March 2005

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

Full work available at URL: https://arxiv.org/abs/math/0309420

zbMATH Keywords

directed graph\(C^*\)-correspondenceisomorphismtensor algebraquiver algebrafree semigroup algebrafree semigroupoid algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Representations of (nonselfadjoint) operator algebras (47L55) Nonselfadjoint (sub)algebras in algebras with involution (46K50) Other nonselfadjoint operator algebras (47L75)

Related Items (19)

Graph theoretic invariants for operator algebras associated to topological dynamics ⋮ \(C^{*}\)-subalgebras generated by a single operator in \(B(H)\) ⋮ Graph von Neumann algebras ⋮ Finitely correlated representations of product systems of \(C^{*}\)-correspondences over \(\mathbb N^k\) ⋮ Operator algebras of monomial ideals in noncommuting variables ⋮ Morita equivalence of \(C^*\)-correspondences passes to the related operator algebras ⋮ Operator algebras associated with unitary commutation relations ⋮ Isomorphisms of tensor algebras arising from weighted partial systems ⋮ Classification of irreversible and reversible Pimsner operator algebras ⋮ \(C^{*}\)-algebras generated by partial isometries ⋮ Operator algebras and subproduct systems arising from stochastic matrices ⋮ Applications of the Wold decomposition to the study of row contractions associated with directed graphs ⋮ Indecomposable representations of quivers on infinite-dimensional Hilbert spaces ⋮ Operator algebras for multivariable dynamics ⋮ Reconstructing directed graphs from generalized gauge actions on their Toeplitz algebras ⋮ The semicircular law of free probability as noncommutative multivariable operator theory ⋮ Morita equivalence of \(W^{*}\)-correspondences and their Hardy algebras ⋮ Vertex-compressed subalgebras of a graph von Neumann algebra ⋮ Applications of automata and graphs: Labeling-operators in Hilbert space. I

Cites Work

• Isometries of non-self-adjoint operator algebras
• A class of C*-algebras and topological Markov chains
• Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes
• The algebraic structure of non-commutative analytic Toeplitz algebras
• Operator algebras and measure preserving automorphisms
• Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
• The Curvature and Index of Completely Positive Maps
• C^*-Algebras of Infinite Graphs and Cuntz-Krieger Algebras
• Non-commutative disc algebras and their representations
• The 𝐶*-algebras of infinite graphs

This page was built for publication: You can see the arrows in a quiver operator algebra