Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some estimates for the Banach space norms in the von Neumann algebras
  associated with the Berezin's quantization of compact Riemann   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 $n$.

24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ