Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A notion of synchronization of symbolic dynamics and a class of
  $C^*$-algebras   We discuss a synchronization property for subshifts, that we call
$\lambda$-synchronization. Under an irreducibility assumption we associate to a
$\lambda$-synchronizing subshift a simple and purely infinite $C^*$-algebra.

37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol