Embedding ergodic actions of compact quantum groups on C*-algebras into quotient spaces
Operator Algebras
2013-09-24 v2 Functional Analysis
Abstract
The notion of compact quantum subgroup is revisited and an alternative definition is given. Induced representations are considered and a Frobenius reciprocity theorem is obtained. A relationship between ergodic actions of compact quantum groups on C*-algebras and topological transitivity is investigated. A sufficient condition for embedding such actions in quantum quotient spaces is obtained.
Keywords
Cite
@article{arxiv.math/0604308,
title = {Embedding ergodic actions of compact quantum groups on C*-algebras into quotient spaces},
author = {Claudia Pinzari},
journal= {arXiv preprint arXiv:math/0604308},
year = {2013}
}
Comments
31 pages, Latex; The assumptions of Prop. 2.5 of the published version are strengthened, leading to the equivalence between closed coideals and Wang's notion of Woronowicz C*-ideal for nuclear C*algebras and leaving the equivalence problem open in the general case