publication . Article . Preprint . 2012

Invariant subsets under compact quantum group actions

Huichi Huang;
Open Access
  • Published: 21 Oct 2012 Journal: Journal of Noncommutative Geometry, volume 10, pages 447-469 (issn: 1661-6952, Copyright policy)
  • Publisher: European Mathematical Publishing House
Abstract
We investigate compact quantum group actions on unital $C^*$-algebras by analyzing invariant subsets and invariant states. In particular, we come up with the concept of compact quantum group orbits and use it to show that countable compact metrizable spaces with infinitely many points are not quantum homogeneous spaces.
Persistent Identifiers
Subjects
arXiv: Mathematics::General Topology
free text keywords: Mathematics - Operator Algebras, Mathematics - Quantum Algebra, 46L65 (Primary), 16W22 (Secondary), Discrete mathematics, Invariant polynomial, Invariant (mathematics), Compact group, Compact quantum group, Locally compact group, Orbit, Locally compact space, Relatively compact subspace, Mathematics
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