The Γ-equivariant form of the Berezin quantization of the upper half plane

DOI10.1090/memo/0630zbMath0913.46051arXivfunct-an/9502001OpenAlexW2044925880MaRDI QIDQ3840048

Florin Rădulescu

Publication date: 7 February 1999

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

Full work available at URL: https://arxiv.org/abs/funct-an/9502001

zbMATH Keywords

automorphic formsFuchsian groupvon Neumann algebrasinvolutive Banach algebrastar productfactorsPoincaré metricBerezin quantizationHochschild cocycleinfinite semifinite von Neumann factorspace of contravariant symbols

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General quantum mechanics and problems of quantization (81S99) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Discontinuous groups and automorphic forms (11F99) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Subfactors and their classification (46L37) Classifications of (C^*)-algebras (46L35) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

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