Corpus ID: 120882343

Rigidity of action of compact quantum groups on compact, connected manifolds

@article{Goswami2013RigidityOA,
  title={Rigidity of action of compact quantum groups on compact, connected manifolds},
  author={Debashish Goswami and Soumalya Joardar},
  journal={arXiv: Operator Algebras},
  year={2013}
}

Debashish Goswami, Soumalya Joardar

Published 2013

Mathematics

arXiv: Operator Algebras

Suppose that a compact quantum group $\clq$ acts faithfully on a smooth, compact, connected manifold $M$ such that the action $\alpha$ is smooth, i.e. it leaves $C^\infty(M)$ invariant and the linear span of $\alpha(C^\infty(M))(1 \ot \clq)$ is Fr\'echet-dense in $C^\infty(M,\clq)$. % and (ii) %%the action $\alpha_r:=({\rm id} \ot \pi_r)\circ \alpha$ of the reduced quantum group $\clq_r$ is injective (which is equivalent to %the existence of some $\alpha$-invariant faithful positive Borel… CONTINUE READING

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