A class of almost C_0(K)-C*-algebras

J. Inoue; Y-F Lin; J. Ludwig

doi:10.2969/jmsj/06810071

A class of almost C_0(K)-C*-algebras

J. Inoue, Y-F Lin, J. Ludwig

School of Mathematics and Physics

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Abstract

We consider in this paper the family of exponential Lie groups Gn,µ, whose Lie algebra is an extension of the Heisenberg Lie algebra by the reals and whose quotient group by the centre of the Heisenberg group is an ax + b-like group. The C*-algebras of the groups Gn,µ give new examples of almost C0(K)-C*-algebras.

Original language	English
Pages (from-to)	71-89
Number of pages	19
Journal	Journal of the Mathematical Society of Japan
Volume	68
Issue number	1
Early online date	Jan 2015
DOIs	https://doi.org/10.2969/jmsj/06810071
Publication status	Published - Jan 2016

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10.2969/jmsj/06810071

A class of almost C_0(K)-C*-algebras
Copyright 2015 MSJ This article was published in the Journal of the Mathematical Society of Japan
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abstract = "We consider in this paper the family of exponential Lie groups Gn,µ, whose Lie algebra is an extension of the Heisenberg Lie algebra by the reals and whose quotient group by the centre of the Heisenberg group is an ax + b-like group. The C*-algebras of the groups Gn,µ give new examples of almost C0(K)-C*-algebras.",

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AB - We consider in this paper the family of exponential Lie groups Gn,µ, whose Lie algebra is an extension of the Heisenberg Lie algebra by the reals and whose quotient group by the centre of the Heisenberg group is an ax + b-like group. The C*-algebras of the groups Gn,µ give new examples of almost C0(K)-C*-algebras.

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A class of almost C_0(K)-C*-algebras

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Ying-Fen Lin

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A class of almost C_0(K)-C*-algebras

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