[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