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arxiv: 1309.6941 · v1 · pith:KEBWEIQ5new · submitted 2013-09-26 · 🧮 math.GR · math.FA

C*-algebras with norm controlled dual limits and nilpotent Lie groups

classification 🧮 math.GR math.FA
keywords algebrasgroupscontrolleddimensionalduallimitsnilpotentnorm
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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 that the C* -algebras of the 5 dimensional nilpotents Lie groups belong to this class.

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