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arXiv · 1603.02931

Deformations of spectral triples and their quantum isometry groups via monoidal equivalences

Liebrecht De Sadeleer
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Abstract

In this paper, we propose a new procedure to deform spectral triples and their quantum isometry groups. The deformation data are a spectral triple $(\mathcal A,\mathcal H, D)$, a compact quantum group $\mathbb G$ acting algebraically and by orientation-preserving isometries on $(\mathcal A,\mathcal H,D)$ and a unitary fiber functor $ψ$ on $\mathbb G$. The deformation procedure is a genuine generalization of the cocycle deformation of Goswami and Joardar.

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BibTeXRIS

Liebrecht De Sadeleer. 2016-06-30. Deformations of spectral triples and their quantum isometry groups via monoidal equivalences. https://doi.org/10.1007/s11005-016-0900-4

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