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Fixed point theory and the K-theoretic trace

Ross GeogheganAndrew Nicas — 1999

Banach Center Publications

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.

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