Toeplitz algebras and Rieffel deformations

DOI10.1007/BF02099582zbMath0834.47021OpenAlexW2023230042MaRDI QIDQ1842612

Jingbo Xia, Lewis A. Coburn

Publication date: 12 June 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099582

zbMATH Keywords

Toeplitz algebrasrepresentation theorem for Toeplitz operators on the Segal-Bargmann (Fock) space

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (5)

Berezin Quantization and Reproducing Kernels on Complex Domains ⋮ On Voiculescu’s double commutant theorem ⋮ Noncommutative coarse geometry ⋮ The measure algebra of the Heisenberg group ⋮ Positive quantization in the presence of a variable magnetic field

Cites Work

• Quantum mechanics and partial differential equations
• Quantum Riemann surfaces. I: The unit disc
• Deformation estimates for the Berezin-Toeplitz quantization
• Extensions of \(C^*\)-algebras and \(K\)-homology
• Geometric invariants of the quantum Hall effect
• Toeplitz operators in \(n\)-dimensions
• Non-perturbative deformation quantization of Cartan domains
• Fredholm operators associated with strongly pseudoconvex domains in \(C^n\)
• Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere
• Toeplitz Operators on the Segal-Bargmann Space
• On a Hilbert space of analytic functions and an associated integral transform part I
• Harmonic Analysis in Phase Space. (AM-122)
• Heat Flow and Berezin-Toeplitz Estimates
• Toeplitz operators and quantum mechanics
• Unnamed Item

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