Abstract
In this paper, we describe and compare two different C*-algebraic deformation quantizations (in Rieffel’s sense [Rl, R2, R3]) of the ‘multiplicative’ Poisson structure on the Lie group SU(2), which are ‘compatible’ with Woronowicz’s C*-algebraic quantization [Wol, Wo2] of the group structure of SU(2) by pseudogroups (or quantum groups). Due to the space limitation, in this paper we only describe the results and leave their proof to a separate paper [Sh3].
Partially supported by NSF-Grant DMS-9002895.
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© 1994 Springer Science+Business Media New York
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Sheu, A.JL. (1994). Quantization of Poisson SU(2). In: Curto, R.E., Jørgensen, P.E.T. (eds) Algebraic Methods in Operator Theory. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0255-4_29
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DOI: https://doi.org/10.1007/978-1-4612-0255-4_29
Publisher Name: Birkhäuser, Boston, MA
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