Unitary representations of the quantum "ax+b" group

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We find all unitary representations of the quantum "ax+b" group. It turns out that this quantum group is selfdual in the sense that all unitary representations are 'numbered' by elements of the same group. Moreover, we discover the formula for all unitary representations involving S.L. Woronowicz's quantum exponential function.
14 pages, LaTeX

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Quantum Algebra, Operator Algebras, 20G42 (Primary), 47L65, 81R15 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/60969

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0102151
 http://arxiv.org/abs/math/0102151

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arXiv