Locally Compact Separable Abelian Group Actions on Factors with the Rohlin Property

TL;DR

This paper classifies actions of locally compact separable abelian groups on factors with the Rohlin property, extending previous work by Masuda and Tomatsu to a broader setting.

Contribution

It generalizes the classification of group actions with the Rohlin property to locally compact separable abelian groups on factors.

Findings

Established a classification theorem for these group actions.

Extended Masuda and Tomatsu's results to a more general context.

Provided new insights into the structure of factors with the Rohlin property.

Abstract

We show a classification theorem for locally compact separable abelain group actions on factorsw with the Rohlin property. This is a generalization of Masuda and Tomatsu's work.