Connes-Landi Deformation of Spectral Triples

Abstract

We describe a way to deform spectral triples with a 2-torus action and a real deformation parameter, motivated by deformation of manifolds after Connes-Landi. Such deformations are shown to have naturally isomorphic $K$-theoretic invariants independent of the deformation parameter.

19 pages

References in corpus (2)

• theta-deformations as compact quantum metric spaces
• Group C*-algebras, metrics and an operator theoretic inequality