Motivated by the description of the C*-algebras of 5-dimensional nilpotent Lie groups as algebras of operator fields defined over their spectra, we introduce the family of C*-algebras with norm controlled dual limits and we show by explicit computations that the C*-algebras of every 5-dimensional nilpotent Lie group belong to this class.
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Institut Elie Cartan, Université de Lorraine, 57045 Metz, France
Jean Ludwig; Hedi Regeiba. C*-Algebras with Norm Controlled Dual Limits and Nilpotent Lie Groups. Journal of Lie Theory, Tome 25 (2015) no. 3, pp. 613-655. http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a0/
@article{JOLT_2015_25_3_a0,
author = {Jean Ludwig and Hedi Regeiba},
title = {C*-Algebras with {Norm} {Controlled} {Dual} {Limits} and {Nilpotent} {Lie} {Groups}},
journal = {Journal of Lie Theory},
pages = {613--655},
year = {2015},
volume = {25},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a0/}
}
TY - JOUR
AU - Jean Ludwig
AU - Hedi Regeiba
TI - C*-Algebras with Norm Controlled Dual Limits and Nilpotent Lie Groups
JO - Journal of Lie Theory
PY - 2015
SP - 613
EP - 655
VL - 25
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a0/
ID - JOLT_2015_25_3_a0
ER -
%0 Journal Article
%A Jean Ludwig
%A Hedi Regeiba
%T C*-Algebras with Norm Controlled Dual Limits and Nilpotent Lie Groups
%J Journal of Lie Theory
%D 2015
%P 613-655
%V 25
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a0/
%F JOLT_2015_25_3_a0
