Isomorphism Conjecture for homotopy K-theory and groups acting on trees

  title={Isomorphism Conjecture for homotopy K-theory and groups acting on trees},
  author={Arthur Bartels and Wolfgang L{\"u}ck},
We discuss an analogon to the Farrell-Jones Conjecture for homotopy algebraic K-theory. In particular, we prove that if a group G acts on a tree and all isotropy groups satisfy this conjecture, then G satisfies this conjecture. This result can be used to get rational injectivity results for the assembly map in the Farrell-Jones Conjecture in algebraic K-theory. 
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Isomorphism conjectures in algebraic K-theory

  • F. T. Farrell, L. E. Jones
  • J. Amer. Math. Soc., 6(2):249–297
  • 1993
Highly Influential
4 Excerpts

Algebraic K-theory of generalized free products

  • F. Waldhausen
  • I, II. Ann. of Math. (2), 108(1):135–204
  • 1978
Highly Influential
3 Excerpts

Squeezing and higher algebraic K-theory

  • A. Bartels
  • K-Theory, 28(1):19–37
  • 2003
1 Excerpt

K-theory for proper smooth actions of totally disconnected groups

  • J. Sauer
  • Ph.D. thesis
  • 2002
1 Excerpt

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