[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 :
Mathématiques
Auteur, co-auteur :
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
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
The C*-algebras of connected real two-step nilpotent Lie groups
Date de publication/diffusion :
2015
Titre du périodique :
Revista Matemática Complutense
Peer reviewed :
Peer reviewed
Projet FnR :
FNR3964572 - The C*-Algebras Of Certain Lie Groups, 2012 (01/11/2012-31/10/2016) - Janne-kathrin Günther
