Applications of the Wold decomposition to the study of row contractions associated with directed graphs

DOI10.1090/S0002-9947-05-03692-5zbMath1081.47019arXivmath/0311178OpenAlexW1962493893MaRDI QIDQ4679391

Elias G. Katsoulis, David W. Kribs

Publication date: 30 May 2005

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

Full work available at URL: https://arxiv.org/abs/math/0311178

zbMATH Keywords

directed graphWold decompositionquiver algebraCuntz--Krieger \(C^*\)-algebra

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Limit algebras, subalgebras of (C^*)-algebras (47L40) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (7)

Hilbert spaces built on a similarity and on dynamical renormalization ⋮ Certain free products of graph operator algebras ⋮ Graph Douglas algebras ⋮ Fock space techniques in tensor algebras of directed graphs ⋮ Minimal Cuntz--Krieger dilations and representations of Cuntz--Krieger algebras ⋮ All finite transitive graphs admit a self-adjoint free semigroupoid algebra ⋮ Structure of free semigroupoid algebras

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