Rigidity of action of compact quantum groups II
Operator Algebras
2014-11-17 v3 Differential Geometry
Quantum Algebra
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))
Keywords
Cite
@article{arxiv.1206.1718,
title = {Rigidity of action of compact quantum groups II},
author = {Biswarup Das and Debashish Goswami and Soumalya Joardar},
journal= {arXiv preprint arXiv:1206.1718},
year = {2014}
}
Comments
Withdrawn because its content is now subsumed (with improvement) in arXiv:1309.1294 and arXiv:1410.8650