Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative   motives
  V. Lunts has recently established Lefschetz fixed point theorems for Fourier-Mukai functors and dg algebras. In the same vein, D. Shklyarov introduced the noncommutative analogue of the Hirzebruch-Riemann-Roch theorem. In this short article, we see how these constructions and computations formally stem from their motivic counterparts. 
Denis-Charles Cisinski and Goncalo Tabuada
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