Abstract
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).
Original language | English |
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Pages (from-to) | 89-103 |
Number of pages | 14 |
Journal | Mathematica Scandinavica |
Volume | 97 |
Issue number | 1 |
Publication status | Published - 2005 |
Keywords
- amenable lie-groups
- star-algebras
- free product
- extensions
- zero