Resumen de On the stable rank and real rank of group C^*-algebras of nilpotent locally compact groups
It is shown that if G is an almost connected nilpotent group then the stable rank of C∗(G) is equal to the rank of the abelian group G/[G,G]. For a general nilpotent locally compact group G, it is shown that finiteness of the rank of G/[G,G] is necessary and sufficient for the finiteness of the stable rank of C∗(G) and also for the finiteness of the real rank of C∗(G).
