Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Conjugacy of Subalgebras of Graph C*-Algebras   The problem of inner vs outer conjugacy of subalgebras of certain graph
C*-algebras is investigated. For a large class of finite graphs E, we show that
whenever $\alpha$ is a vertex-fixing quasi-free automorphism of the
corresponding graph C*-algebra C*(E) such that \alpha(\D_E)\neq\D_E, where \D_E
is the canonical MASA in C*(E), then \alpha(\D_E)\neq w\D_E w^* for all
unitaries w\in C*(E). That is, the two MASAs \D_E and \alpha(\D_E) of C*(E) are
outer but not inner conjugate. Passing to an isomorphic C*-algebra by changing
the underlying graph makes this result applicable to certain non quasi-free
automorphisms as well. For the Cuntz algebras O_n, we find a criterion which
guarantees that a polynomial automorphism moves the canonical UHF subalgebra to
a non-inner conjugate UHF subalgebra. The criterion is phrased in terms of
rescaling of trace on diagonal projections.

23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg