Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On solid ergodicity for Gaussian actions   We investigate Gaussian actions through the study of their crossed-product
von Neumann algebra. The motivational result is Chifan and Ioana's ergodic
decomposition theorem for Bernoulli actions (Ergodic subequivalence relations
induced by a Bernoulli action, {\it Geometric and Functional Analysis}{\bf 20}
(2010), 53-67) that we generalize to Gaussian actions. We also give general
structural results that allow us to get a more accurate result at the level of
von Neumann algebras. More precisely, for a large class of Gaussian actions
$\Gamma \curvearrowright X$, we show that any subfactor $N$ of $L^\infty(X)
\rtimes \Gamma$ containing $L^\infty(X)$ is either hyperfinite or is non-Gamma
and prime. At the end of the article, we generalize this result to Bogoliubov
actions.

20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex