Abstract.
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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Mathematics Subject Classification (2000): 20F67, 18F25
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Rosenthal, D., Schütz, D. On the algebraic K- and L-theory of word hyperbolic groups. Math. Ann. 332, 523–532 (2005). https://doi.org/10.1007/s00208-005-0634-6
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DOI: https://doi.org/10.1007/s00208-005-0634-6