Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wagoner's Complexes Revisited   We generalize Wagoner's representation of the automorphism group of a
two-sided subshifts of finite type as the fundamental group of a certain
CW-complex to groupoids having a certain refinement structure. This
significantly streamlines the original proof and allows us to extend this
construction to, e.g., the automorphism group of subshifts of finite type over
arbitrary finitely generated groups and the automorphism group of G-SFTs.

29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn