Unitary Continuous Representations of Compact Quantum Groups

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages

Scientific paper

Generalizing the notion of continuous Hilbert space representations of
compact topological groups we define unitary continuous correpresentations of
$C^*$-completions of compact quantum group Hopf algebras on arbitrary Hilbert
spaces. It is proved that the unitary continuous correpresentations decompose
in finite dimensional irreducible correpresentations.

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