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Equivariant Lorentzian Spectral Triples

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

We present examples of equivariant noncommutative Lorentzian spectral geometries. The equivariance with respect to a compact isometry group (or quantum group) allows to construct the algebraic data of a version of spectral triple geometry adapted to the situation of an indefinite metric. The spectrum of the equivariant Dirac operator is calculated.

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Cite

@article{arxiv.math-ph/0611029,
  title  = {Equivariant Lorentzian Spectral Triples},
  author = {Mario Paschke and Andrzej Sitarz},
  journal= {arXiv preprint arXiv:math-ph/0611029},
  year   = {2007}
}

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27 pages