Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbations of intermediate C*-subalgebras for simple C*-algebras   We study uniform perturbations of intermediate C*-subalgebras of inclusions
of simple C*-algebras. If a unital simple C*-algebra has a simple C*-subalgebra
of finite index, then sufficiently close simple intermediate C*-subalgebras are
unitarily equivalent. These C*-subalgebras need not to be nuclear. The unitary
can be chosen in the relative commutant algebra. An imediate corollary is the
following: If the relative commutant is trivial, then the set of intermediate
C*-subagebras is a finite set.

27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an