Singly Generated II1 Factors
Junhao Shen
Abstract
In the paper, we study the generator problem of II1 factors. By defining a new concept related to the number of generators of a von Neumann algebra, we are able to show that a large class of II1 factors are singly generated, i.e., generated by two self-adjoint elements. In particular, this shows that most of II1 factors, whose free entropy dimensions are less than or equal to one, are singly generated.
Create a lesson
Related papers
Selfless Reduced Crossed Product C*-Algebras Arising from Almost Periodic Actions
Syuichi Ohshima
A Centroid Framework for Operator-Valued Haagerup Inequalities
Patrick Oliveira Santos
Weak Factorization and Product Systems Over Groupoids
Jon Bannon, Alina Vdovina
Representation stability for compact and discrete quantum groups
Michael Brannan, Junichiro Matsuda, Erik Séguin
Warped cones associated to isometric free actions do not have geometric property (T)
Ryo Toyota
Non-Subhomogeneity of Minimal Operator Systems over Positive Semidefinite and Lorentz Cones
Tim Netzer