Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Beurling-Fourier algebras on compact groups are operator algebras   Let $G$ be a compact connected Lie group. The question of when a weighted
Fourier algebra on $G$ is completely isomorphic to an operator algebra will be
investigated in this paper. We will demonstrate that the dimension of the group
plays an important role in the question. More precisely, we will get a positive
answer to the question when we consider a polynomial type weight coming from a
length function on $G$ with the order of growth strictly bigger than the half
of the dimension of the group. The case of SU(n) will be examined, focusing
more on the details including negative results. The proof for the positive
directions depends on a non-commutative version of Littlewood multiplier
theory, which we will develop in this paper, and the negative directions will
be taken care of by restricting to a maximal torus.

20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom