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arxiv: 1605.09256 · v2 · pith:ZQUK7DTOnew · submitted 2016-05-30 · 🧮 math.RT

The C*-algebra of SL(2,R)

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keywords algebrafouriertransformcharacterizedcomputationscontrolleddualexplicit
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The $C^*$-algebra of the group $SL(2,{\mathbb R})$ is characterized using the operator valued Fourier transform. In particular, it is shown by explicit computations, that the Fourier transform of this $C^*$-algebra fulfills the norm controlled dual limit property.

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