Relative weak mixing of W*-dynamical systems via joinings

TL;DR

This paper characterizes relative weak mixing in W*-dynamical systems using the concept of relatively independent joinings, providing a new perspective on their dynamical properties.

Contribution

It introduces a novel characterization of relative weak mixing in W*-dynamical systems through joinings, advancing the theoretical understanding of their structure.

Findings

Established a characterization of relative weak mixing via joinings

Connected joinings with dynamical properties in W*-systems

Provided a new framework for analyzing weak mixing in operator algebras

Abstract

A characterization of relative weak mixing in W*-dynamical systems in terms of a relatively independent joining is proven.