On the stable rank and real rank of group C-algebras of nilpotent locally compact groups

Authors

  • Robert J. Archbold
  • Eberhard Kaniuth

DOI:

https://doi.org/10.7146/math.scand.a-14965

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).

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Published

2005-09-01

How to Cite

Archbold, R. J., & Kaniuth, E. (2005). On the stable rank and real rank of group C-algebras of nilpotent locally compact groups. MATHEMATICA SCANDINAVICA, 97(1), 89–103. https://doi.org/10.7146/math.scand.a-14965

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Articles