Types of graded tensor products of graded von Neumann algebras

TL;DR

This paper extends the classification of tensor products of von Neumann algebras to the graded setting, providing a detailed multiplication table for graded tensor products in specific cases.

Contribution

It fills out the multiplication table for graded tensor products of graded von Neumann algebras, a previously unexplored area in operator algebra theory.

Findings

Completed the multiplication table for graded tensor products in special cases

Identified new interactions between grading and tensor product types

Enhanced understanding of graded von Neumann algebra structures

Abstract

There is a famous multiplication table of types of tensor product of two von Neumann algebras. We filled out the multiplication table of graded tensor product of two graded von Neumann algebras in special cases.