  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.
