The Fubini product and its applications

TL;DR

This paper reviews the theory of Fubini products of operator spaces and applies it to analyze invariant properties of dynamical systems, especially focusing on the invariant translation approximation property of discrete groups.

Contribution

It introduces new applications of Fubini products to compute invariant parts of dynamical systems and study properties of discrete groups.

Findings

Fubini products effectively analyze tensor product properties.

Applied Fubini products to invariant translation approximation property.

Enhanced understanding of discrete group properties.

Abstract

The Fubini product of operator spaces provide a powerful tool for analysing properties of tensor products. In this paper we review the the theory of Fubini products and apply it to the problem of computing invariant parts of dynamical systems. In particular, we study the invariant translation approximation property of discrete groups.