Reference : The C*-algebras of connected real two-step nilpotent Lie groups
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/19455
The C*-algebras of connected real two-step nilpotent Lie groups
English
Günther, Janne-Kathrin mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Ludwig, Jean [Université de Lorraine, Metz > Institut Elie Cartan de Lorraine, UMR 7502 > Professor emeritus]
19-Sep-2014
arXIv
37
No
[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.
Fonds National de la Recherche - FnR
http://hdl.handle.net/10993/19455
http://arxiv.org/pdf/1409.5635v1.pdf

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