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The universal functorial equivariant Lefschetz invariant

arXiv:math/0606563 · doi:10.1007/s10977-006-0001-8

Abstract

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.

33 pages; shortened version of the author's PhD thesis, supervised by Wolfgang Lueck, Westfaelische Wilhelms-Universitaet Muenster, 2005

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The universal functorial equivariant Lefschetz invariant · wovepaper