Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A non-commutative Amir-Cambern theorem for von Neumann algebras and
  nuclear $C^*$-algebras   We prove that von Neumann algebras and separable nuclear $C^*$-algebras are
stable for the Banach-Mazur cb-distance. A technical step is to show that
unital almost completely isometric maps between $C^*$-algebras are almost
multiplicative and almost selfadjoint. Also as an intermediate result, we
compare the Banach-Mazur cb-distance and the Kadison-Kastler distance. Finally,
we show that if two $C^*$-algebras are close enough for the cb-distance, then
they have at most the same length.

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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg