Quantum isometry groups of discrete quantum spaces
Document Type
Book Chapter
Publication Title
Infosys Science Foundation Series in Mathematical Sciences
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.
First Page
129
Last Page
147
DOI
10.1007/978-81-322-3667-2_5
Publication Date
1-1-2016
Recommended Citation
Goswami, Debashish and Bhowmick, Jyotishman, "Quantum isometry groups of discrete quantum spaces" (2016). Book Chapters. 251.
https://digitalcommons.isical.ac.in/book-chapters/251
