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The C*-algebras of connected real two-step nilpotent Lie groups
Günther, Janne-Kathrin; Ludwig, Jean
2014
 

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Keywords :
C*-algebra; Two-step nilpotent Lie group; Fourier transform; Norm controlled dual limit property
Abstract :
[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.
Disciplines :
Mathematics
Author, co-author :
Günther, Janne-Kathrin ;  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
Language :
English
Title :
The C*-algebras of connected real two-step nilpotent Lie groups
Publication date :
19 September 2014
Publisher :
arXIv
Number of pages :
37
Name of the research project :
Project Code 3964572
Funders :
FNR - Fonds National de la Recherche [LU]
Available on ORBilu :
since 12 January 2015

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