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- W1966220963 abstract "We show that the algebraic structure of the group $C^*$-algebra $C^*(G)$ of a simply connected, connected nilpotent Lie group $G$ is described as repeating finitely the extension of $C^*$-algebras with $T_{2^-}$ spectrums by themselves and one more extension by a commutative $C^*$-algebra on the fixed point space $(mathfrak{G}^*)^G$ of $mathfrak{G}^*$ under the coadjoint action of $G$. Using this result, we show that $C^*(G)$ has no non-trivial projections." @default.
- W1966220963 created "2016-06-24" @default.
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- W1966220963 date "1996-06-01" @default.
- W1966220963 modified "2023-09-26" @default.
- W1966220963 title "Structure of the $C^*$-Algebras of Nilpotent Lie Groups" @default.
- W1966220963 doi "https://doi.org/10.3836/tjm/1270043230" @default.
- W1966220963 hasPublicationYear "1996" @default.
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