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Homological realization of prescribed abelian groups via K-theory
Published online by Cambridge University Press: 10 April 2007
Abstract
Using algebraic and topological K-theory together with complex C*-algebras, we prove that every abelian group may be realized as the centre of a strongly torsion generated group whose integral homology is zero in dimension one and isomorphic to two arbitrarily prescribed abelian groups in dimensions two and three.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 142 , Issue 2 , March 2007 , pp. 249 - 258
- Copyright
- Copyright © Cambridge Philosophical Society 2007
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