Operator representations of cross product algebras of Podles' quantum spheres

2002/12/20 by Konrad Schmuedgen, Schmuedgen, Konrad, Elmar Wagner +1
Mathematics · #17B37 #46L86 #81R50 #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.OA #math.QA #msc:17B37 #msc:46L86 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/0212292

15 pages

arxiv created 2002/12/20 · arxiv updated 2009/11/30

Abstract

Hilbert space representations of the cross product *-algebra of the Hopf *-algebra U_q(su₂) and its module *-algebras O(S²_qc) of Podles' spheres are studied. Two classes of representations are described by explicit formulas for the actions of the generators.

Related

• Representations of cross product algebras of Podles quantum spheres
• Hilbert Space Representations of Cross Product Algebras
• Hilbert space representations of cross product algebras II
• Induced *-representations and C^*-envelopes of some quantum *-algebras
• Induced Representations of Quantum Groups