Abstract
The Hilbert space representation theory of the $q$-deformed quantum $*$-algebra $\mathcal{U}_q(su_{1,1})$ is studied using the inducing procedure. As a result we obtain four series of irreducible induced $*$-representations on Hilbert spaces. Furthermore, we show that there is a one-to-one correspondence between the induced series and the series of irreducible well-behaved $*$-representations of $\mathcal{U}_q(su_{1,1})$ computed by Burban and Klymik.
Citation
David Dubray . "Hilbert space representations of the quantum *-algebra $\mathcal{U}_q(su_{1,1})$." Banach J. Math. Anal. 9 (3) 261 - 277, 2015. https://doi.org/10.15352/bjma/09-3-19
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