Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuous representations of groupoids   We introduce unitary representations of continuous groupoids on continuous
fields of Hilbert spaces. We investigate some properties of these objects and
discuss some of the standard constructions from representation theory in this
particular context. An important r\^{ole} is played by the regular
representation. We conclude by discussing some operator algebra associated to
continuous representations of groupoids; in particular, we analyse the
relationship of continuous representations of $G$ and continuous
representations of the Banach $*$-category $\hat{L}^{1}(G)$.

30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat