论文标题
关于冯·诺伊曼代数的选定主题的简明演讲
Concise lectures on selected topics of von Neumann algebras
论文作者
论文摘要
冯·诺伊曼（Von Neumann）代数理论发生了突破，当时tomita-takesaki理论是在1970年左右建立的。从那时起，该理论中的许多重要问题是由Araki，Connes，Haagerup，Takeaki，Takeaki等人在1970年代开发的，这些问题已经是Von Neumann Algebra理论非常经典的。然而，尽管该理论上有一些很大的著作，但对于初学者来说，似乎仍然很难访问他们。这些讲义是在2019年的4月在布达佩斯技术与经济学大学数学分析系进行的强化课程。该课程的目的是对理论的主要经典进行快速研究，人们从中获得足够的背景知识，以便在需要更多细节时咨询合适的卷。
A breakthrough took place in the von Neumann algebra theory when the Tomita-Takesaki theory was established around 1970. Since then, many important issues in the theory were developed through 1970's by Araki, Connes, Haagerup, Takesaki and others, which are already very classics of the von Neumann algebra theory. Nevertheless, it seems still difficult for beginners to access them, though a few big volumes on the theory are available. These lecture notes are delivered as an intensive course in 2019, April at Department of Mathematical Analysis, Budapest University of Technology and Economics. The course was aimed at giving a fast track study of those main classics of the theory, from which people gain an enough background knowledge so that they can consult suitable volumes when more details are needed.
