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- W2962804405 abstract "We consider three quantum algebras: the q-oscillator algebra, the Podles' sphere and the q-deformed enveloping algebra of $su(2).$ To each of these *-algebras we associate certain partial dynamical system and perform the Mackey analysis of *-representations developed in [SS]. As a result we get the description of standard irreducible *-representations. Further, for each of these examples we show the existence of a $C^*$-envelope which is canonically isomorphic to the covariance $C^*$-algebra of the partial dynamical system. Finally, for the q-oscillator algebra and the q-deformed $cU(su(2))$ we show the existence of bad representations." @default.
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- W2962804405 date "2012-06-15" @default.
- W2962804405 modified "2023-09-26" @default.
- W2962804405 title "Induced *-representations and C *-envelopes of some quantum *-algebras" @default.
- W2962804405 hasPublicationYear "2012" @default.
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