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arXiv · 1206.1718

Rigidity of action of compact quantum groups II

Biswarup Das·Debashish Goswami·Soumalya Joardar
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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))

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BibTeXRIS

Biswarup Das, Debashish Goswami, Soumalya Joardar. 2014-11-14. Rigidity of action of compact quantum groups II. https://arxiv.org/abs/1206.1718

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