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strongly torsion generated groups

Journal of K-Theory (1)

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Strongly torsion generated groups from K-theory of real C*-algebras
A. J. Berrick, M. Matthey
Journal:

Journal of K-Theory / Volume 3 / Issue 2 / April 2009

Published online by Cambridge University Press:

12 May 2008, pp. 309-326

Print publication:

April 2009
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We pursue the program initiated in [7], which consists of an attempt by means of K-theory to construct a strongly torsion generated group with prescribed center and integral homology in dimensions two and higher. Using algebraic and topological K-theory for real C*-algebras, we realize such a construction up to homological dimension five. We also explore the limits of the K-theoretic approach.