Indexed by:期刊论文
Date of Publication:2017-09-15
Journal:Journal of Mathematical Analysis and Applications
Included Journals:SCIE、Scopus
Volume:453
Issue:2
Page Number:1139-1144
ISSN No.:0022-247X
Key Words:Von Neumann algebra; Generator; Direct integral
Abstract:In this note, we prove that many von Neumann algebras can be generated by two unitary operators u and v with u(2) = v(3) = 1. As applications, three important classes of II1 factors possessing this property are those with Property Gamma, or with a Cartan masa, or non-prime ones. (C) 2017 Elsevier Inc. All rights reserved.