publication . Article . Preprint . 2012

INVARIANT SUBSETS UNDER COMPACT QUANTUM GROUP ACTIONS

Huichi Huang;
  • Published: 21 Oct 2012
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.
Subjects
arXiv: Mathematics::General Topology
free text keywords: Topology, Compact group, Locally compact space, Orbit, Invariant (mathematics), Mathematics, Locally compact group, Compact quantum group, Relatively compact subspace, Invariant polynomial, Algebra, Mathematics - Operator Algebras, Mathematics - Quantum Algebra, 46L65 (Primary), 16W22 (Secondary)
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publication . Article . Preprint . 2012

INVARIANT SUBSETS UNDER COMPACT QUANTUM GROUP ACTIONS

Huichi Huang;