The C*-algebras of connected real two-step nilpotent Lie groups

Reference : The C*-algebras of connected real two-step nilpotent Lie groups


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/22506

Title :	The C*-algebras of connected real two-step nilpotent Lie groups
Language :	English
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]
Publication date :	2015
Journal title :	Revista Matemática Complutense
Peer reviewed :	Yes
Audience :	International
Keywords :	[en] 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.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/22506
DOI :	10.1007/s13163-015-0177-7
FnR project :	FnR ; FNR3964572 > Janne-Kathrin Gunther > CALG > The C*-algebras of certain Lie groups > 01/11/2012 > 31/10/2015 > 2012

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