The Universal Functorial Equivariant Lefschetz Invariant
نویسنده
چکیده
We introduce the universal functorial equivariant Lefschetz invariant for endomorphisms of finite proper G-CW-complexes, where G is a discrete group. We use K0 of the category of “φ-endomorphisms of finitely generated free RΠ(G,X)-modules”. We derive results about fixed points of equivariant endomorphisms of cocompact proper smooth G-manifolds.
منابع مشابه
“ The Universal Functorial Lefschetz Invariant ” by Wolfgang Lück
We introduce the universal functorial Lefschetz invariant for endomorphisms of finite CW -complexes in terms of Grothendieck groups of endomorphisms of finitely generated free modules. It encompasses invariants like Lefschetz number, its generalization to the Lefschetz invariant, Nielsen number and L2-torsion of mapping tori. We examine its behaviour under fibrations.
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