A New Characterisation of Idempotent States on Finite and Compact Quantum Groups
Operator Algebras
2009-09-04 v1 Quantum Algebra
Abstract
We show that idempotent states on finite quantum groups correspond to pre-subgroups in the sense of Baaj, Blanchard, and Skandalis. It follows that the lattices formed by the idempotent states on a finite quantum group and by its coidalgebras are isomorphic. We show furthermore that these lattices are also isomorphic for compact quantum groups, if one restricts to expected coidalgebras.
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Cite
@article{arxiv.0906.2362,
title = {A New Characterisation of Idempotent States on Finite and Compact Quantum Groups},
author = {Uwe Franz and Adam Skalski},
journal= {arXiv preprint arXiv:0906.2362},
year = {2009}
}
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9 pages