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On the algebraic K- and L-theory of word hyperbolic groups.

Rosenthal, D. and Schuetz, D. (2005) 'On the algebraic K- and L-theory of word hyperbolic groups.', Mathematische annalen., 332 (3). pp. 523-532.


In this paper, the assembly maps in algebraic K- and L-theory for the family of finite subgroups are proven to be split injections for word hyperbolic groups. This is done by analyzing the compactification of the Rips complex by the boundary of a word hyperbolic group.

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Date of first online publication:May 2005
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