Rigidity of action of compact quantum groups II

Abstract

Suppose that a compact quantum group Q acts faithfully and isomet- rically (in the sense of [10]) on a smooth compact, oriented, connected Riemannian manifold M . If the manifold is stably parallelizable then it is shown that the compact quantum group is necessarily commutative as a C \ast algebra i.e. Q = C(G) for some compact group G. Using this, it is also proved that the quantum isometry group of Rieffel deformation of such manifold M must be a Rieffel-Wang deformation of C(ISO(M))

Withdrawn because its content is now subsumed (with improvement) in arXiv:1309.1294 and arXiv:1410.8650

References in corpus (1)

• Faithful compact quantum group actions on connected compact metrizable spaces

Cited by in corpus (4)

• Faithful compact quantum group actions on connected compact metrizable spaces
• Invariant subsets under compact quantum group actions
• Rigidity of action of compact quantum groups III: the general case
• On the problem of classifying simple compact quantum groups