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Strongly torsion generated groups from K-theory of real C*-algebras

Published online by Cambridge University Press:  12 May 2008

A. J. Berrick  and
M. Matthey
A. J. Berrick
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 117543, Republic of Singapore, berrick@math.nus.edu.sg.
M. Matthey
Affiliation:
Late of: University of Lausanne, IGAT (Institute for Geometry, Algebra and Topology), Bâtiment BCH, EPFL, CH-1015 Lausanne, Switzerland
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Abstract

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.

Keywords

Strongly torsion generated groupshomologyK-theoryC*-algebras
Type
Research Article
Information
Journal of K-Theory , Volume 3 , Issue 2 , April 2009 , pp. 309 - 326
Copyright
Copyright © ISOPP 2009

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