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A Continuous Field of Projectionless C*-Algebras

Published online by Cambridge University Press:  20 November 2018

Andrew Dean
Andrew Dean*
Affiliation:
Department of Mathematical Sciences, Lakehead University, 955 Oliver Road, Thunder Bay, Ontario, P7B 5E1. email: [email protected]
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Abstract

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We use some results about stable relations to show that some of the simple, stable, projectionless crossed products of ${{O}_{2}}$ by $\mathbb{R}$ considered by Kishimoto and Kumjian are inductive limits of type I ${{C}^{*}}$-algebras. The type I ${{C}^{*}}$-algebras that arise are pullbacks of finite direct sums of matrix algebras over the continuous functions on the unit interval by finite dimensional ${{C}^{*}}$-algebras.

Keywords

46L3546L57
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 53 , Issue 1 , 01 February 2001 , pp. 51 - 72
Copyright
Copyright © Canadian Mathematical Society 2001

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