AN EQUIVARIANT LEFSCHETZ FIXED-POINT FORMULA FOR CORRESPONDENCES

作者:Dell' Ambrogio Ivo; Emerson Heath; Meyer Ralf
来源:Documenta Mathematica, 2014, 19: 141-193.
DOI:10.4171/dm/443

摘要

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.

  • 出版日期2014