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Strongly Perforated ${{K}_{0}}$-Groups of Simple ${{C}^{*}}$-Algebras

Published online by Cambridge University Press:  20 November 2018

Andrew Toms
Andrew Toms*
Affiliation:
Toftegaards Alle 26 4 tv Valby, Denmark DK-2500
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Abstract

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In the sequel we construct simple, unital, separable, stable, amenable ${{C}^{*}}$-algebras for which the ordered ${{K}_{0}}$-group is strongly perforated and group isomorphic to $Z$. The particular order structures to be constructed will be described in detail below, and all known results of this type will be generalised.

Keywords

4619
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 3 , 01 September 2003 , pp. 457 - 472
Copyright
Copyright © Canadian Mathematical Society 2003

References

[B] Blackadar, Bruce, K-theory for C*-algebras. Springer-Verlag, New York, 1986.Google Scholar
[E-V] Elliott, George A. and Villadsen, Jesper, Perforated ordered K0-groups. Canad. J. Math. (6) 52 (2000), 1164–1191.Google Scholar
[H] Husemoller, Dale, Fibre Bundles. Third Edition, Springer-Verlag, New York, 1994.Google Scholar
[R-V] Rørdam, Mikael and Villadsen, Jesper, On the ordered K0-group of universal free product C*-algebras. K-theory (4) 15 (1998), 307–322.Google Scholar
[V] Villadsen, Jesper, Simple C*-algebras with perforation. J. Funct. Anal. (1) 154 (1998), 110–116.Google Scholar