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Homological realization of prescribed abelian groups via $K$-theory | A. J. Berrick
; M. Matthey
; | Date: |
18 Dec 2004 | Subject: | Group Theory; K-Theory and Homology | math.GR math.KT | 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. | Source: | arXiv, math.GR/0412365 | Services: | Forum | Review | PDF | Favorites |
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