Please use this identifier to cite or link to this item: https://doi.org/10.1017/S030500410600973X
Title: Homological realization of prescribed abelian groups via K-theory
Authors: Berrick, A.J. 
Matthey, M.
Issue Date: Mar-2007
Citation: Berrick, A.J., Matthey, M. (2007-03). Homological realization of prescribed abelian groups via K-theory. Mathematical Proceedings of the Cambridge Philosophical Society 142 (2) : 249-258. ScholarBank@NUS Repository. https://doi.org/10.1017/S030500410600973X
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. © 2007 Cambridge Philosophical Society.
Source Title: Mathematical Proceedings of the Cambridge Philosophical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/103380
ISSN: 03050041
DOI: 10.1017/S030500410600973X
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