Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on anomalous symmetries of C*-algebras   For a group $G$ and $\omega\in Z^{3}(G, \text{U}(1))$, an $\omega$-anomalous
action on a C*-algebra $B$ is a $\text{U}(1)$-linear monoidal functor between
2-groups $\text{2-Gr}(G, \text{U}(1), \omega)\rightarrow
\underline{\text{Aut}}(B)$, where the latter denotes the 2-group of
$*$-automorphisms of $B$. The class $[\omega]\in H^{3}(G, \text{U}(1))$ is
called the anomaly of the action. We show for every $n\ge 2$ and every finite
group $G$, every anomaly can be realized on the stabilization of a commutative
C*-algebra $C(M)\otimes \mathcal{K}$ for some closed connected $n$-manifold
$M$. We also show that although there are no anomalous symmetries of Roe
C*-algebras of coarse spaces, for every finite group $G$, every anomaly can be
realized on the Roe corona $C^{*}(X)/\mathcal{K}$ of some bounded geometry
metric space $X$ with property $A$.

36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con