Hostname: page-component-7c8c6479df-ws8qp Total loading time: 0 Render date: 2024-03-29T07:55:36.184Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  20 November 2018

Andrew Toms*
Affiliation:
Toftegaards Alle 26 4 tv Valby, Denmark DK-2500
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Type
Research Article
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), 11641191.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), 307322.Google Scholar
[V] Villadsen, Jesper, Simple C*-algebras with perforation. J. Funct. Anal. (1) 154 (1998), 110116.Google Scholar