Homological realization of prescribed abelian groups via $K$-theory
Group Theory
2016-07-06 v1 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.math/0412365,
title = {Homological realization of prescribed abelian groups via $K$-theory},
author = {A. J. Berrick and M. Matthey},
journal= {arXiv preprint arXiv:math/0412365},
year = {2016}
}
Comments
10 pages