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Homological realization of prescribed abelian groups via K-theory

Published online by Cambridge University Press:  10 April 2007

A. J. BERRICK  and
M. MATTHEY
A. J. BERRICK
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 117543, Republic of Singapore. e-mail: berrick@math.nus.edu.sg
M. MATTHEY
Affiliation:
Late of: University of Lausanne, IGAT (Institute for Geometry, Algebra and Topology), Bâtiment BCH, EPFL, CH-1015 Lausanne, Switzerland.
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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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