On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set

• Autorzy: Debashish Goswami , Adam Skalski
• Języki publikacji: EN

Abstrakty

EN

Two different models for a Hopf-von Neumann algebra of bounded functions on the quantum semigroup of all (quantum) permutations of 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 a universal property with respect to infinite magic unitaries.

Kategorie tematyczne

• 37B40: Topological entropy
• 81R50: Quantum groups and related algebraic methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 98
• Numer: 1
• Strony: 199-214

Daty

wydano

2012

Twórcy

autor

Debashish Goswami

• Stat-Math Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata 700 208, India

autor

Adam Skalski

• Institute of Mathematics of the Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc98-0-7