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

Authors

  • Robert J. Archbold
  • Eberhard Kaniuth

DOI:

https://doi.org/10.7146/math.scand.a-15199

Abstract

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.

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Published

2012-03-01

How to Cite

Archbold, R. J., & Kaniuth, E. (2012). On the real rank of C-algebras of nilpotent locally compact groups. MATHEMATICA SCANDINAVICA, 110(1), 99–110. https://doi.org/10.7146/math.scand.a-15199

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Section

Articles