Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bivariant cyclic cohomology and Connes' bilinear pairings in
  Non-commutative motives   In this article we further the study of non-commutative motives. We prove
that bivariant cyclic cohomology (and its variants) becomes representable in
the category of non-commutative motives. Furthermore, Connes' bilinear pairings
correspond to the composition operation. As an application, we obtain a simple
model, given in terms of infinite matrices, for the (de)suspension of these
bivariant cohomology theories.

37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: nlin