Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group C*-algebras without the completely bounded approximation property   It is proved that:
  (1) The Fourier algebra A(G) of a simple Lie group G of real rank at least 2
with finite center does not have a multiplier bounded approximate unit.
  (2) The reduced C*-algebra of any lattice in a non-compact simple Lie group
of real rank at least 2 with finite center does not have the completely bounded
approximation property.
  Hence, the results obtained by J. de Canniere and the author for SO(n,1), n
at least 2, and by M. Cowling for SU(n,1) do not generalize to simple Lie
groups of real rank at least 2.

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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg