The C*-algebras of connected real two-step nilpotent Lie groups
classification
🧮 math.RT
keywords
algebrasconnectedfouriergroupsnilpotentoperatorrealtransform
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Using the operator valued Fourier transform, the C*-algebras of connected real two-step nilpotent Lie groups are characterized as algebras of operator fields defined over their spectra. In particular, it is shown by explicit computations, that the Fourier transform of such C*-algebras fulfills the norm controlled dual limit property.
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