Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-commutativity of the central sequence algebra for separable non-type
  I C$^{\ast}$-algebras   We show that if $A$ is a separable, simple and non-type I C$^{\ast}$ algebra,
then for every properly infinite hyperfinite von Neumann algebra $M$ with
separable predual, its Ocneanu ultrapower $M'\cap M^{\omega}$ arises as a
sub-quotient of the central sequence algebra $F(A)$ defined by the second named
author. In particular, this answers affirmatively the question of the second
named author (Abel Symposium '04): the central sequence C$^{\ast}$-algebra of
the reduced free group C$^{\ast}$-algebra $C_{\rm{red}}^*(\mathbb{F}_2)$ is
non-commutative.

21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph