Representations of Dirichlet operator algebras

DOI10.1512/iumj.2022.71.8995OpenAlexW2999905572MaRDI QIDQ5050605

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Publication date: 17 November 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02369

zbMATH Keywords

Cartan pair\(\mathrm{C}^\ast\)-envelopeDirichlet operator algebraessentially principal etale groupoid

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Abstract operator algebras on Hilbert spaces (47L30) Topological groupoids (including differentiable and Lie groupoids) (22A22) States of selfadjoint operator algebras (46L30)

Cites Work

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• Dilation theory, commutant lifting and semicrossed products
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• Primitive limit algebras and C\(^{*}\)-envelopes
• Nest representations and dynamical systems
• Subalgebras of \(C^ *\)-algebras
• Ideals in some continuous nonselfadjoint crossed product algebras
• The topology of ideals in some triangular AF algebras
• Compact operators and nest representations of limit algebras
• Isomorphisms between topological conjugacy algebras
• Cartan subalgebras in C*-algebras
• On C*-Diagonals
• Meet irreducible ideals in direct limit algebras
• Algebraic isomorphisms and spectra of triangular limit algebras
• Norms of inner derivations of TAF algebras
• Nest Representations of TAF Algebras
• Crossed Products of Operator Algebras

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