Strong uncountable cofinality for unitary groups of von Neumann algebras
Group Theory
2019-12-18 v2 Functional Analysis
Operator Algebras
Abstract
We show that unitary groups of II factors and of properly infinite von Neumann algebras have strong uncountable cofinality. In particular, we obtain a short alternative proof for the strong uncountable cofinality of , which was first proven by Ricard and Rosendal.
Keywords
Cite
@article{arxiv.1804.09515,
title = {Strong uncountable cofinality for unitary groups of von Neumann algebras},
author = {Philip A. Dowerk},
journal= {arXiv preprint arXiv:1804.09515},
year = {2019}
}
Comments
Title changed for historical correctness, minor mistakes corrected, additional preliminaries provided. 13 pages