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July, 2000 Dimension theory of group C*-algebras of connected Lie groups of type I
Takahiro SUDO
J. Math. Soc. Japan 52(3): 583-590 (July, 2000). DOI: 10.2969/jmsj/05230583

Abstract

In this paper we determine isomorphism classes of connected solvable Lie groups with some conditions such that their group C*-algebras have stable rank one, and give its applications. Also, we show that stable rank of group C*-algebras of connected Lie groups of type I is estimated in terms of their closed normal subgroups and quotient groups.

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Takahiro SUDO. "Dimension theory of group C*-algebras of connected Lie groups of type I." J. Math. Soc. Japan 52 (3) 583 - 590, July, 2000. https://doi.org/10.2969/jmsj/05230583

Information

Published: July, 2000
First available in Project Euclid: 10 June 2008

zbMATH: 0971.46039
MathSciNet: MR1760606
Digital Object Identifier: 10.2969/jmsj/05230583

Subjects:
Primary: 46L05
Secondary: 22D25

Keywords: Group $C^{*}$-algebras , Lie groups , stable rank

Rights: Copyright © 2000 Mathematical Society of Japan

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