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arxiv: 1006.4420 · v1 · pith:WMHHK2JZnew · submitted 2010-06-23 · 🧮 math.OA

Connes-Landi Deformation of Spectral Triples

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keywords deformationconnes-landiparameterspectraltriplesactiondeformdeformations
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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.

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