Equivariant Lorentzian Spectral Triples

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.

27 pages

References in corpus (4)

• Noncommutative Manifolds the Instanton Algebra and Isospectral Deformations
• The Dirac operator on SU_q(2)
• On Noncommutative and semi-Riemannian Geometry
• On Spin Structures and Dirac Operators on the Noncommutative Torus

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