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Deformation of Spectral Triples and Their Quantum Isometry Groups

  • Debashish Goswami
  • Jyotishman Bhowmick
Chapter
Part of the Infosys Science Foundation Series book series (ISFS)

Abstract

This chapter deals with \( \mathrm{QISO}^{\mathcal{L}} \) and \( \mathrm{QISO}^{+}_R \) of a cocycle twisted noncommutative manifold. We first discuss the cocycle deformation of compact quantum groups, von Neumann algebras and spectral triples, followed by the proof of the fact that \( \mathrm{QISO}^{+}_{R} \) and \( \mathrm{QISO}^{\mathcal{L}} \) of a cocycle twist of a (noncommutative) manifold is a cocycle twist of the \( \mathrm{QISO}^{+}_R \) and \( \mathrm{QISO}^{\mathcal{L}} \) (respectively) of the original (undeformed) manifold.

Keywords

Quantum Group Compact Quantum Group Spectral Triple Isospectral Deformation Quantum Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer (India) Pvt. Ltd 2016

Authors and Affiliations

  1. 1.Statistics and Mathematics UnitIndian Statistical InstituteKolkataIndia

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