Twisting adjoint module algebras

TL;DR

This paper investigates how operator algebras, specifically adjoint module algebras, behave under Hopf algebra twists, demonstrating their stability and exploring applications to non-commutative space-time vector fields.

Contribution

It shows that adjoint module algebras remain stable under Hopf algebra twists, providing new insights into their structure and applications in non-commutative geometry.

Findings

Adjoint module algebras are stable under Hopf algebra twists

Application to vector fields on non-commutative space-time

Enhanced understanding of algebra transformations in non-commutative geometry

Abstract

Transformation of operator algebras under Hopf algebra twist is studied. It is shown that that adjoint module algebras are stable under the twist. Applications to vector fields on non-commutative space-time are considered.