Commutative \(C^\ast\)-algebras of Toeplitz operators via the moment map on the polydisk

DOI10.1155/2016/1652719zbMath1360.46061OpenAlexW2399348756WikidataQ59126876 ScholiaQ59126876MaRDI QIDQ294909

Armando Sánchez-Nungaray, Luis Alfredo Dupont-García, Mauricio Hernández-Marroquin

Publication date: 16 June 2016

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/1652719

zbMATH Keywords

\(C^\ast\)-algebrapolydiskbiholomorphism

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Quantizations, deformations for selfadjoint operator algebras (46L65) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (1)

Moment maps of abelian groups and commuting Toeplitz operators acting on the unit ball

Cites Work

• Dynamics of properties of Toeplitz operators with radial symbols
• Dynamics of properties of Toeplitz operators on the upper half-plane: hyperbolic case
• Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. I: Bargmann-type transforms and spectral representations of Toeplitz operators
• Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. II: Geometry of the level sets of symbols
• Commutative \(C^{\ast}\)-algebras of Toeplitz operators and quantization on the unit disk
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