The relationship between fixed point theory and K-theory is explained, both classical Nielsen theory (versus ) and 1-parameter fixed point theory (versus ). 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.
@article{bwmeta1.element.bwnjournal-article-bcpv49i1p137bwm,
author = {Geoghegan, Ross and Nicas, Andrew},
title = {Fixed point theory and the K-theoretic trace},
journal = {Banach Center Publications},
volume = {50},
year = {1999},
pages = {137-149},
zbl = {0944.55003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv49i1p137bwm}
}
Geoghegan, Ross; Nicas, Andrew. Fixed point theory and the K-theoretic trace. Banach Center Publications, Tome 50 (1999) pp. 137-149. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv49i1p137bwm/
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