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|Title:||Homological realization of prescribed abelian groups via K-theory|
|Authors:||Berrick, A.J. |
|Source:||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|
|Appears in Collections:||Staff Publications|
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