Abstract
ABSTRACTA Poisson algebra ℂ[G] considered as a Poisson version of the twisted quantized coordinate ring ℂq,p[G], constructed by Hodges et al. [11], is obtained and its Poisson structure is investigated. This establishes that all Poisson prime and primitive ideals of ℂ[G] are characterized. Further it is shown that ℂ[G] satisfies the Poisson Dixmier-Moeglin equivalence and that Zariski topology on the space of Poisson primitive ideals of ℂ[G] agrees with the quotient topology induced by the natural surjection from the maximal ideal space of ℂ[G] onto the Poisson primitive ideal space.
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