Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Quivers   Topological quivers are generalizations of directed graphs in which the sets
of vertices and edges are locally compact Hausdorff spaces. Associated to such
a topological quiver Q is a C*-correspondence, and from this correspondence one
may construct a Cuntz-Pimsner algebra C*(Q). In this paper we develop the
general theory of topological quiver C*-algebras and show how certain
C*-algebras found in the literature may be viewed from this general
perspective. In particular, we show that C*-algebras of topological quivers
generalize the well-studied class of graph C*-algebras and in analogy with that
theory much of the operator algebra structure of C*(Q) can be determined from
Q. We also show that many fundamental results from the theory of graph
C*-algebras have natural analogues in the context of topological quivers (often
with more involved proofs). These include the Gauge-Invariant Uniqueness
theorem, the Cuntz-Krieger Uniqueness theorem, descriptions of the ideal
structure, and conditions for simplicity.

11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th