Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Connes-amenable, dual Banach algebra need not have a normal, virtual
  diagonal   Let $G$ be a locally compact group, and let $WAP(G)$ denote the space of
weakly almost periodic functions on $G$. We show that, if $G$ is a
$[SIN]$-group, but not compact, then the dual Banach algebra $WAP(G)^\ast$ does
not have a normal, virtual diagonal. Consequently, whenever $G$ is an amenable,
non-compact $[SIN]$-group, $WAP(G)^\ast$ is an example of a Connes-amenable,
dual Banach algebra without a normal,virtual diagonal.

23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex