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- W1632274518 abstract "Let $G$ be any cocompact, discrete subgroup of $pslr$. In this paper we find estimates for the predual and the uniform Banach space norms in the von Neumann algebras associated with the Berezin' s quantization of a compact Riemann surface $Bbb D/G$. As a corollary, for large values of the deformation parameter $1/h$, these von Neumann algebras are isomorphic. Using the results in [AS], [AC], [GHJ] on the von Neumann dimension of the Hilbert spaces in the discrete series of unitary representations of $PSL(2,Bbb R)$, as left modules over $Gamma$ we deduce that the fundamental group ([MvN]) of the von Neumann $Cal L(Gamma)$ contains the positive rational numbers. Equivalently, this proves that the algebras $Cal L(Gamma)otimes M_n(Bbb C)$, are isomorphic for all $n$." @default.
- W1632274518 created "2016-06-24" @default.
- W1632274518 creator A5064036516 @default.
- W1632274518 date "1995-11-08" @default.
- W1632274518 modified "2023-09-27" @default.
- W1632274518 title "Some estimates for the Banach space norms in the von Neumann algebras associated with the Berezin's quantization of compact Riemann" @default.
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