Factors with prescribed number of invariant subalgebras not arising from subgroups

Fuente: arXiv
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Main Authors: Jiang, Yongle, Xu, Qinxuan
Format: Preprint
Published: 2026
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author Jiang, Yongle
Xu, Qinxuan
author_facet Jiang, Yongle
Xu, Qinxuan
contents For any given integer $n\geq 1$, we construct i.c.c. groups $G$ such that the II$_1$ factors $L(G)$ have exactly $n$-many $G$-invariant von Neumann subalgebras not arising from subgroups.
format Preprint
id arxiv_https___arxiv_org_abs_2605_01795
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Factors with prescribed number of invariant subalgebras not arising from subgroups
Jiang, Yongle
Xu, Qinxuan
Operator Algebras
Dynamical Systems
Group Theory
For any given integer $n\geq 1$, we construct i.c.c. groups $G$ such that the II$_1$ factors $L(G)$ have exactly $n$-many $G$-invariant von Neumann subalgebras not arising from subgroups.
title Factors with prescribed number of invariant subalgebras not arising from subgroups
topic Operator Algebras
Dynamical Systems
Group Theory
url https://arxiv.org/abs/2605.01795