The quantum permutation group of an infinite countable set

Mathematics – Operator Algebras

Scientific paper

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14 pages

Scientific paper

Two different models for a Hopf-von Neumann algebra of bounded functions on
the quantum permutation group on infinitely many elements are proposed, one
based on projective limits of enveloping von Neumann algebras related to finite
quantum permutation groups, and the second on universal properties with respect
to infinite magic unitaries.

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