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

Robert J. Archbold, Eberhard Kaniuth

• 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.