Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalized Cuntz-Krieger uniqueness theorem for higher rank graphs   We present a uniqueness theorem for k-graph C*-algebras that requires neither
an aperiodicity nor a gauge invariance assumption. Specifically, we prove that
for the injectivity of a representation of a k-graph C*-algebra, it is
sufficient that the representation be injective on a distinguished abelian
C*-subalgebra. A crucial part of the proof is the application of an abstract
uniqueness theorem, which says that such a uniqueness property follows from the
existence of a jointly faithful collection of states on the ambient C*-algebra,
each of which is the unique extension of a state on the distinguished abelian
C*-subalgebra.

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The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an