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Quantum Isometry Groups of Discrete Quantum Spaces

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

Abstract

We show that the definitions of quantum symmetry groups for finite metric spaces and graphs given by Banica and Bichon can be viewed as quantum isometry groups in our sense. Next, we prove that the quantum group of orientation preserving isometries of a spectral triple on some approximately finite dimensional \( C^* \) algebras arise as the inductive limit of the quantum group of orientation preserving isometries of suitable spectral triples on the constituent finite dimensional algebras.

Keywords

Dirac Operator Quantum Group Inductive Limit Finite Graph Noncommutative Space 
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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