Geodesic
An equivariant Lefschetz fixed-point formula for correspondences
Documenta mathematica, Tome 19 (2014), pp. 141-193
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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. textitWe dedicate this article to Tamaz Kandelaki, who was a coauthor in an earlier version of this article, and passed away in 2012. We will remember him for his warm character and his perseverance in doing mathematics in difficult circumstances.
DOI : 10.4171/dm/443
Classification : 19D55, 19K35, 19K99 
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     author = {Ivo Dell'Ambrogio and Heath Emerson and Ralf Meyer},
     title = {An equivariant {Lefschetz} fixed-point formula for correspondences},
     journal = {Documenta mathematica},
     pages = {141--193},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/443},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/443/}
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Ivo Dell'Ambrogio; Heath Emerson; Ralf Meyer. An equivariant Lefschetz fixed-point formula for correspondences. Documenta mathematica, Tome 19 (2014), pp. 141-193. doi: 10.4171/dm/443

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