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- W54870529 abstract "If $G$ is an almost connected, nilpotent, locally compact group then the real rank of the $C^ast$-algebra $C^ast (G)$ is given by $operatorname {RR} (C^ast (G)) = operatorname {rank} (G/[G,G]) = operatorname {rank} (G_0/[G_0,G_0])$, where $G_0$ is the connected component of the identity element. In particular, for the continuous Heisenberg group $G_3$, $operatorname {RR} C^ast (G_3))=2$." @default.
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- W54870529 date "2012-03-01" @default.
- W54870529 modified "2023-10-18" @default.
- W54870529 title "On the real rank of $C^ast$-algebras of nilpotent locally compact groups" @default.
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- W54870529 doi "https://doi.org/10.7146/math.scand.a-15199" @default.
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