On the real rank of C∗-algebras of nilpotent locally compact groups
DOI:
https://doi.org/10.7146/math.scand.a-15199Abstract
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.Downloads
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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