Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Modular Stone-von Neumann Theorem   In this paper, we use the tools of nonabelian duality to formulate and prove
a far-reaching generalization of the Stone-von Neumann Theorem to modular
representations of actions and coactions of locally compact groups on
elementary $ C^{\ast} $-algebras. This greatly extends the Covariant Stone-von
Neumann Theorem for Actions of Abelian Groups recently proven by L. Ismert and
the second author. Our approach is based on a new result about Hilbert $
C^{\ast} $-modules that is simple to state yet is widely applicable and can be
used to streamline many previous arguments, so it represents an improvement --
in terms of both efficiency and generality -- in a long line of results in this
area of mathematical physics that goes back to J. von Neumann's proof of the
classical Stone-von Neumann Theorem.

31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin