Simply connected nilpotent Lie groups with quasi-standard 𝐶*-algebras

Archbold, Robert; Kaniuth, Eberhard

doi:10.1090/S0002-9939-97-03830-6

Simply connected nilpotent Lie groups with quasi-standard $C^*$-algebras
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by Robert J. Archbold and Eberhard Kaniuth PDF

Proc. Amer. Math. Soc. 125 (1997), 2733-2742 Request permission

Abstract:

The problem of when the group $C^*$-algebra of a locally compact group is quasi-standard is investigated for certain simply connected nilpotent Lie groups. The characterization is in terms of the coadjoint orbit structure in the dual of the Lie algebra.

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