The Farrell-Jones Isomorphism Conjecture for finite covolume hyperbolic actions and the algebraic K-theory of Bianchi groups

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Abstract
  • We prove the Farrell-Jones Isomorphism Conjecture for groups acting properly discontinuously via isometries on(real) hyperbolic n-space H-n with finite volume orbit space. We then apply this result to show that, for any Bianchi group Gamma, Wh(Gamma), (K) over tilde(0)(Z Gamma), and K-i(Z Gamma) vanish for i less than or equal to -1.
TitleThe Farrell-Jones Isomorphism Conjecture for finite covolume hyperbolic actions and the algebraic K-theory of Bianchi groups
CreatorBerkove, Ethan
Pearson, K.
Juan-Pineda, D.
Farrell, F. T.
PublisherTransactions of the American Mathematical Society
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date Issued2000
Date Available2013-02-26T19:35:12Z
TypeArticle
LanguageEnglish
KeywordK-theory
discrete groups
Bibliographic CitationBerkove, E., et al. (2000) "The Farrell-Jones Isomorphism Conjecture for finite covolume hyperbolic actions and the algebraic K-theory of Bianchi groups." Transactions of the American Mathematical Society 352 (12): 5689-5702.
Standard IdentifierHandle 10385/1126
DOI 10.1090/S0002-9947-00-02529-0
Permalinkhttp://hdl.handle.net/10385/1126
Rights Statement In Copyright In Copyright
Rights HoldersAmerican Mathematical Society
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