Embedding ergodic actions of compact quantum groups on C*-algebras into quotient spaces

Details Embedding ergodic actions of compact quantum groups on C*-algebras into quotient spaces Embedding ergodic actions of compact quantum groups on C*-algebras into quotient spaces

2006-04-13

arxiv.org/abs/math/0604308v1

Mathematics

Operator Algebras

28 pages, Latex

Scientific paper

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.

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