Strict Almost Non-Abelian Deformations

Abstract

An almost non-abelian extension of the Rieffel deformation is presented in this work. The non-abelicity comes into play by the introduction of unitary groups which are dependent of the infinitesimal generators of $SU(n)$. This extension is applied to quantum mechanics and quantum field theory.

A replacement of most proofs was done in terms of strong limits

References in corpus (4)

• Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories
• Wedge-Local Quantum Fields and Noncommutative Minkowski Space
• Geometry and the Quantum: Basics
• Self-Adjointness of Deformed Unbounded Operators