The Purpose of the project is to support research in operator algebras and related fields. Operator algebras provide models and tools for the study of noncommutative, or quantized systems and objects. A large part of the subject is the study of von Neumann algebras (introduced by John von Neumann about seventy years ago). These are the noncommutative measure spaces. The research objective of the project is to further develop the theory of quantum (or "free") probability and statistics in the context of von Neumann algebras and find applications in mathematics and beyond.
Probabilistic and statistical methods are widely used in many areas of sciences and in our daily lives. For many complicated systems such as financial markets or networks, classical theories are not quite effective in explaining how the systems work and predicting the future. Quantum probability and statistics provide tools in dealing with large systems with more interactive or intertwined variables. Progresses in the study of quantum probability and statistics will enhance our understanding of the laws in nature and the quality of our living.
