Open Access
January, 2016 A class of almost $C_0({\cal K})$-C*-algebras
Junko INOUE, Ying-Fen LIN, Jean LUDWIG
J. Math. Soc. Japan 68(1): 71-89 (January, 2016). DOI: 10.2969/jmsj/06810071

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.

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Junko INOUE. Ying-Fen LIN. Jean LUDWIG. "A class of almost $C_0({\cal K})$-C*-algebras." J. Math. Soc. Japan 68 (1) 71 - 89, January, 2016. https://doi.org/10.2969/jmsj/06810071

Information

Published: January, 2016
First available in Project Euclid: 25 January 2016

zbMATH: 1347.22005
MathSciNet: MR3454553
Digital Object Identifier: 10.2969/jmsj/06810071

Subjects:
Primary: 22D25
Secondary: 22E25 , 22E27

Keywords: algebra of operator fields , C*-algebra , exponential Lie group

Rights: Copyright © 2016 Mathematical Society of Japan

Vol.68 • No. 1 • January, 2016
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