On the real rank of C* - algebras in nilpotent locally compact groups

• Autores: Robert J. Archbold, Eberhard Kaniuth
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 110, Nº 1, 2012, págs. 99-110
• Idioma: inglés
• DOI: 10.7146/math.scand.a-15199
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• Resumen

  • If G is an almost connected, nilpotent, locally compact group then the real rank of the C∗-algebra C∗(G) is given by RR(C∗(G))=rank(G/[G,G])=rank(G0/[G0,G0]), where G0 is the connected component of the identity element. In particular, for the continuous Heisenberg group G3, RRC∗(G3))=2.