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THE CYCLOTOMIC TRACE FOR S-ALGEBRAS

Published online by Cambridge University Press:  03 December 2004

BJØRN IAN DUNDAS
BJØRN IAN DUNDAS
Affiliation:
Department of Mathematics, Norwegian University of Science and Technology, N-7491 Trondhjem, Norwaydundas@math.ntnu.no
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Abstract

A functorial and categorical defined cyclotomic trace is given, extending the usual one for rings to ring spectra. There are two ingredients to this: first a cyclotomic trace is needed that accepts a categorical input with few restrictive assumptions. This is important in its own right, since this allows one to transport rich structures through the cyclotomic trace. Secondly, a sufficiently nice model is needed for the category of finitely generated free modules which is functorial in the ring spectrum.

Keywords

19D5555P43 (primary)18D2019D2355P42 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 659 - 677
Copyright
The London Mathematical Society 2004

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