UNITARY CONTINUOUS REPRESENTATIONS OF COMPACT QUANTUM GROUPS

Generalizing the notion of continuous Hilbert space representations of compact topological groups we define unitary continuous corepresentations of C*-completions of compact quantum group Hopf algebras on arbitrary Hilbert spaces. It is proved that the unitary continuous corepresentations decompose in finite-dimensional irreducible corepresentations. © 1995 American Institute of Physics.