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arXiv · 1303.4777

An equivariant Lefschetz fixed-point formula for correspondences

Ivo Dell'Ambrogio·Heath Emerson·Ralf Meyer
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Abstract

We compute the trace of an endomorphism in equivariant bivariant K-theory for a compact group G in several ways: geometrically using geometric correspondences, algebraically using localisation, and as a Hattori-Stallings trace. This results in an equivariant version of the classical Lefschetz fixed-point theorem, which applies to arbitrary equivariant correspondences, not just maps.

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Ivo Dell'Ambrogio, Heath Emerson, Ralf Meyer. 2013-03-19. An equivariant Lefschetz fixed-point formula for correspondences. https://arxiv.org/abs/1303.4777

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