The C*-algebras of connected real two-step nilpotent Lie groups
Representation Theory
2014-09-22 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1409.5635,
title = {The C*-algebras of connected real two-step nilpotent Lie groups},
author = {Janne-Kathrin Günther and Jean Ludwig},
journal= {arXiv preprint arXiv:1409.5635},
year = {2014}
}
Comments
37 pages, submitted to "Revista Matem\'atica Complutense"