Singly Generated II₁ Factors
Shen, Junhao
الأصل · EN
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.
الترجمة العربية
لا توجد ترجمة عربية لهذا البحث بعد. كن أوّل من يطلبها: تستغرق ثوانيَ معدودة، وتُحفظ النتيجة لكل قارئ قادم.