Reference : The C*-algebras of real two-step nilpotent Lie groups
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The C*-algebras of real two-step nilpotent Lie groups
Günther, Janne-Kathrin mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Conférence de la Société Mathématique de Tunisie
From 16-03-2015 to 19-03-2015
Société Mathématique de Tunisie
[en] C*-algebra ; Two-step nilpotent Lie group ; Fourier transform ; Norm controlled dual limit property
[en] 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.
FnR ; FNR3964572 > Janne-Kathrin Gunther > CALG > The C*-algebras of certain Lie groups > 01/11/2012 > 31/10/2015 > 2012

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