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).
|Number of pages||14|
|Publication status||Published - 2005|
- amenable lie-groups
- free product