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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A PL geometric study of algebraic $ K$ theory


Author: Bi Zhong Hu
Journal: Trans. Amer. Math. Soc. 334 (1992), 783-808
MSC: Primary 57Q10; Secondary 19B28, 53C21, 57N60, 57R80
DOI: https://doi.org/10.1090/S0002-9947-1992-1085943-0
MathSciNet review: 1085943
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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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DOI: https://doi.org/10.1090/S0002-9947-1992-1085943-0
Article copyright: © Copyright 1992 American Mathematical Society