Singly Generated II_1 Factors
算子代数
2007-05-23 v3
摘要
In the paper, we study the generator problem of II 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 II factors are singly generated, i.e., generated by two self-adjoint elements. In particular, this shows that most of II factors, whose free entropy dimensions are less than or equal to one, are singly generated.
引用
@article{arxiv.math/0511327,
title = {Singly Generated II_1 Factors},
author = {Junhao Shen},
journal= {arXiv preprint arXiv:math/0511327},
year = {2007}
}