Quantum bohr compactification

Details Quantum bohr compactification Quantum bohr compactification

2006-04-28

arxiv.org/abs/math/0604620v2

Ill. J. Math. 49 (4) (2005), 1245-1270

Mathematics

Operator Algebras

Scientific paper

We introduce a non commutative analog of the Bohr compactification. Starting from a general quantum group G we define a compact quantum group bG which has a universal property such as the universal property of the classical Bohr compactification for topological groups. We study the object bG in special cases when G is a classical locally compact group, dual of a classical group, discrete or compact quantum group as well a quantum group arising from a manageable multiplicative unitary. We also use our construction to give new examples of compact quantum groups.

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