Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomology for spatial super-product systems   We introduce a cohomology theory for spatial super- product systems and
compute the $2-$cocycles for some basic examples called as Clifford
super-product systems, thereby distinguish them up to isomorphism. This
consequently proves that a family of $E_0-$semigroups on type III factors,
which we call as CAR flows, are non-cocycle-conjugate for different ranks.
Similar results follows for the even CAR flows as well. We also compute the
automorphsim group of the Clifford super-product systems.

27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys