Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diagonals in Tensor Products of Operator Algebras   In this paper we give a short, direct proof, using only properties of the
Haagerup tensor product, that if an operator algebra A possesses a diagonal in
the Haagerup tensor product of A with itself, then A must be isomorphic to a
finite dimensional $C^*$-algebra. Consequently, for operator algebras, the
first Hochschild cohomology group, $H^1(A,X) = 0$ for every bounded, Banach
A-bimodule X, if and only if A is isomorphic to a finite dimensional
$C^*$-algebra.

32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn