## Journal of the Mathematical Society of Japan

### A class of almost $C_0({\cal K})$-C*-algebras

#### Abstract

We consider in this paper the family of exponential Lie groups $G_{n,\mu}$, 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 $G_{n,\mu}$ give new examples of almost $C_0({\cal K})$-C*-algebras.

#### Article information

Source
J. Math. Soc. Japan, Volume 68, Number 1 (2016), 71-89.

Dates
First available in Project Euclid: 25 January 2016

https://projecteuclid.org/euclid.jmsj/1453731535

Digital Object Identifier
doi:10.2969/jmsj/06810071

Mathematical Reviews number (MathSciNet)
MR3454553

Zentralblatt MATH identifier
1347.22005

#### Citation

INOUE, Junko; LIN, Ying-Fen; LUDWIG, Jean. A class of almost $C_0({\cal K})$-C*-algebras. J. Math. Soc. Japan 68 (2016), no. 1, 71--89. doi:10.2969/jmsj/06810071. https://projecteuclid.org/euclid.jmsj/1453731535

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