Real Spectral Triples over Noncommutative Bieberbach Manifolds
Quantum Algebra
2019-03-08 v1 Mathematical Physics
math.MP
Abstract
We classify and construct all real spectral triples over noncommutative Bieberbach manifolds, which are restrictions of irreducible real equivariant spectral triple over the noncommutative three-torus. We show that in the classical case the constructed geometries correspond exactly to spin structures over Bieberbach manifolds and the Dirac operators constructed for a flat metric.
Cite
@article{arxiv.1301.2240,
title = {Real Spectral Triples over Noncommutative Bieberbach Manifolds},
author = {Piotr Olczykowski and Andrzej Sitarz},
journal= {arXiv preprint arXiv:1301.2240},
year = {2019}
}
Comments
18 pages