The Analysis of Mixing Property of a Measure Preserving Transformation Group under the Theory of Operator Algebras
重男 明石 · Institutional Repositories DataBase (IRDB) · 1989
In this paper, a relation between a measure preserving transformation group on a probability space and the von Neumann algebra generated by this group is studied under the theory of crossed products. Especially, we give a necessary and sufficient condition under which this group has mixing property.