Homological realization of prescribed abelian groups via $K$-theory

Details Homological realization of prescribed abelian groups via $K$-theory Homological realization of prescribed abelian groups via $K$-theory

2004-12-18

arxiv.org/abs/math/0412365v1

Mathematics

Group Theory

10 pages

Scientific paper

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.

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