Mathematics – Algebraic Topology
Scientific paper
2006-06-22
K-Theory (2005) 36:169-207
Mathematics
Algebraic Topology
33 pages; shortened version of the author's PhD thesis, supervised by Wolfgang Lueck, Westfaelische Wilhelms-Universitaet Muen
Scientific paper
10.1007/s10977-006-0001-8
We introduce the universal functorial equivariant Lefschetz invariant for
endomorphisms of finite proper G-CW-complexes, where G is a discrete group. We
use K_0 of the category of "phi-endomorphisms of finitely generated free
RPi(G,X)-modules". We derive results about fixed points of equivariant
endomorphisms of cocompact proper smooth G-manifolds.
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