Fixed point theory and the K-theoretic trace

Tom 49 / 1999

Ross Geoghegan, Andrew Nicas Banach Center Publications 49 (1999), 137-149 DOI: 10.4064/-49-1-137-149


The relationship between fixed point theory and K-theory is explained, both classical Nielsen theory (versus $K_0$) and 1-parameter fixed point theory (versus $K_1$). In particular, various zeta functions associated with suspension flows are shown to come in a natural way as "traces" of "torsions" of Whitehead and Reidemeister type.


  • Ross Geoghegan
  • Andrew Nicas

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