Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some bialgebroids constructed by Kadison and Connes-Moscovici are
  isomorphic   We prove that a certain bialgebroid introduced recently by Kadison is
isomorphic to a bialgebroid introduced earlier by Connes and Moscovici. At the
level of total algebras, the isomorphism is a consequence of the general fact
that an L-R-smash product over a Hopf algebra is isomorphic to a diagonal
crossed product.

13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: q-fin
18
The categories of this paper are: econ