[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
Language :
English
Title :
The C*-algebras of real two-step nilpotent Lie groups
Publication date :
16 March 2015
Event name :
Conférence de la Société Mathématique de Tunisie
Event organizer :
Société Mathématique de Tunisie
Event place :
Sousse, Tunisia
Event date :
From 16-03-2015 to 19-03-2015
Audience :
International
FnR Project :
FNR3964572 - The C*-Algebras Of Certain Lie Groups, 2012 (01/11/2012-31/10/2016) - Janne-kathrin Günther