Quantum Symmetry Groups of Finite Spaces

Details Quantum Symmetry Groups of Finite Spaces Quantum Symmetry Groups of Finite Spaces

1998-07-17

arxiv.org/abs/math/9807091v1

Commun. Math. Phys. 195:1 (1998), 195-211

Mathematics

Operator Algebras

AMSLATEX, 21 pages. To appear in Commun Math Phys

Scientific paper

10.1007/s002200050385

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.

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