Operator representations of cross product algebras of Podles' quantum spheres
Quantum Algebra
2007-05-23 v1 Operator Algebras
Abstract
Hilbert space representations of the cross product *-algebra of the Hopf *-algebra U_q(su_2) and its module *-algebras O(S^2_{qc}) of Podles' spheres are studied. Two classes of representations are described by explicit formulas for the actions of the generators.
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Cite
@article{arxiv.math/0212292,
title = {Operator representations of cross product algebras of Podles' quantum spheres},
author = {Konrad Schmuedgen and Elmar Wagner},
journal= {arXiv preprint arXiv:math/0212292},
year = {2007}
}
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15 pages