Quantum Symmetry Groups of Finite Spaces
Operator Algebras
2009-10-31 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We determine the quantum automorphism groups of finite spaces and find they are all compact quantum groups in the sense of Woronowicz. This solves a problem of Connes for finite spaces.
Cite
@article{arxiv.math/9807091,
title = {Quantum Symmetry Groups of Finite Spaces},
author = {Shuzhou Wang},
journal= {arXiv preprint arXiv:math/9807091},
year = {2009}
}
Comments
AMSLATEX, 21 pages. To appear in Commun Math Phys