# Fixed point theory and the K-theoretic trace

Banach Center Publications (1999)

- Volume: 49, Issue: 1, page 137-149
- ISSN: 0137-6934

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topGeoghegan, Ross, and Nicas, Andrew. "Fixed point theory and the K-theoretic trace." Banach Center Publications 49.1 (1999): 137-149. <http://eudml.org/doc/208955>.

@article{Geoghegan1999,

abstract = {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.},

author = {Geoghegan, Ross, Nicas, Andrew},

journal = {Banach Center Publications},

keywords = {zeta-function; K-theory; classical Nielsen theory; torsion},

language = {eng},

number = {1},

pages = {137-149},

title = {Fixed point theory and the K-theoretic trace},

url = {http://eudml.org/doc/208955},

volume = {49},

year = {1999},

}

TY - JOUR

AU - Geoghegan, Ross

AU - Nicas, Andrew

TI - Fixed point theory and the K-theoretic trace

JO - Banach Center Publications

PY - 1999

VL - 49

IS - 1

SP - 137

EP - 149

AB - 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.

LA - eng

KW - zeta-function; K-theory; classical Nielsen theory; torsion

UR - http://eudml.org/doc/208955

ER -

## References

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