We will study a faithful product type action of Gq, the q-deformation of a connected semisimple compact Lie group G, and prove that such an action is induced from a minimal action of the maximal torus T of Gq. This enables us to classify product type actions of SUq(2) up to conjugacy. We also compute the intrinsic group of Gq,Ω, the 2-cocycle deformation of Gq that is naturally associated with the quantum flag manifold L∞(T\Gq).
- Depth 2 subfactors
- Infinite tensor product type actions
- Non-commutative Poisson boundaries
- Quantum flag manifolds
ASJC Scopus subject areas