Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodic theory for quantum semigroups   Recent results of L. Zsido, based on his previous work with C. P. Niculescu
and A. Stroh, on actions of topological semigroups on von Neumann algebras,
give a Jacobs-de Leeuw-Glicksberg splitting theorem at the von Neumann algebra
(rather than Hilbert space) level. We generalize this to the framework of
actions of quantum semigroups, namely Hopf-von Neumann algebras. To this end,
we introduce and study a notion of almost periodic vectors and operators that
is suitable for our setting.

3
The categories of this paper are: physics
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ