Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An application of the DR-duality theory for compact groups to
  endomorphism categories of C*-algebras with nontrivial center   In Rev. Math. Phys. 4 (1997) 785 we study Hilbert-C* systems {F,G} where the
fixed point algebra A has nontrivial center Z and where A'\cap F=Z is
satisfied. The corresponding category of all canonical endomorphisms of A
contains characteristic mutually isomorphic subcategories of the
Doplicher/Roberts-type which are connected with the choice of distinguished
G-invariant algebraic Hilbert spaces within the corresponding G-invariant
Hilbert Z-modules. We present in this paper the solution of the corresponding
inverse problem. More precisely, assuming that the given endomorphism category
T of a C*-algebra A with center Z contains a certain subcategory of the
DR-type, a Hilbert extension {F,G} of A is constructed such that T is
isomorphic to the category of all canonical endomorphisms of A w.r.t. {F,G} and
A'\cap F=Z. Furthermore, there is a natural equivalence relation between
admissible subcategories and it is shown that two admissible subcategories
yield A-module isomorphic Hilbert extensions iff they are equivalent. The
essential step of the solution is the application of the standard DR-theory to
the assigned subcategory.

28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat