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Group actions on von Neumann algebras with compact open subgroups
Abstract
We study strictly outer actions of locally compact groups with a compact open subgroup on von Neumann factors. For amenable groups, we prove 2-cohomology vanishing and obtain classification results using a description of the central sequence algebra and Rohlin-type observations. We also characterize the inclusions of factors associated with group actions, and extend M. Choda's result to this locally compact setting.
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BibTeX
@misc{nishihara2026group,
title = {{Group actions on von Neumann algebras with compact open subgroups}},
author = {Takumi Nishihara},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.27827},
eprint = {2608.27827},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.27827},
}
RIS
TY - UNPB
TI - Group actions on von Neumann algebras with compact open subgroups
AU - Takumi Nishihara
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2608.27827
UR - https://arxiv.org/abs/2608.27827
AB - We study strictly outer actions of locally compact groups with a compact open subgroup on von Neumann factors. For amenable groups, we prove 2-cohomology vanishing and obtain classification results using a description of the central sequence algebra and Rohlin-type observations. We also characterize the inclusions of factors associated with group actions, and extend M. Choda's result to this locally compact setting.
ER -