Research on von Neumann algebras from a viewpoint of their close relation with ergodic theory

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In this research, I studied a certain class of von Neumann algebras extensively treated in the area of operator algebras, with an emphasis on its close connection with ergodic theory. As a result, it has for the first time been revealed that the study of coactions in operator algebras is exactly the same as that of 1-cocycles in ergodic theory. Moreover, the analysis made in this research has enabled one to study a various kind of concepts already established in ergodic theory from a viewpoint of operator algebras. This opens an intriguing way of making a research on ergodic theory from a totally different angle.