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On the Simple Inductive Limits of Splitting Interval Algebras with Dimension Drops

Published online by Cambridge University Press:  20 November 2018

Zhiqiang Li
Zhiqiang Li*
Affiliation:
College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, China and The Fields Institute, Toronto, ON, M5T 3J1 email: [email protected]
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Abstract

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A $\text{K}$-theoretic classification is given of the simple inductive limits of finite direct sums of the type I ${{C}^{*}}$-algebras known as splitting interval algebras with dimension drops. (These are the subhomogeneous ${{C}^{*}}$-algebras, each having spectrum a finite union of points and an open interval, and torsion ${{K}_{1}}$-group.)

Keywords

46L0546L35
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 64 , Issue 3 , 01 June 2012 , pp. 544 - 572
Copyright
Copyright © Canadian Mathematical Society 2012

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