A PL geometric study of algebraic 𝐾 theory

Hu, Bi Zhong

doi:10.1090/S0002-9947-1992-1085943-0

A PL geometric study of algebraic $K$ theory
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Trans. Amer. Math. Soc. 334 (1992), 783-808 Request permission

Abstract:

This paper manages to apply the Farrell-Jones theory on algebraic $K$-groups of closed negatively curved riemannian manifolds to Gromov’s hyperbolic group theory. The paper reaches the conclusion that for any finite polyhedron $K$ with negative curvature, $\operatorname {Wh}({\pi _1}K) = 0$ .

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