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A Continuous Field of Projectionless C*-Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 2001
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