Volume 10 (2007)

Download this article
For screen
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
MSP Books and Monographs
About this Series
Editorial Board
Ethics Statement
Author Index
Submission Guidelines
Author Copyright Form
Purchases
ISSN (electronic): 1464-8997
ISSN (print): 1464-8989
Other MSP Publications

Milnor operations and the generalized Chern character

Takeshi Torii

Geometry & Topology Monographs 10 (2007) 383–421

DOI: 10.2140/gtm.2007.10.383

arXiv: 0903.4708

Abstract

We have shown that the n-th Morava K–theory K*(X) for a CW–spectrum X with action of Morava stabilizer group Gn can be recovered from the system of some height (n+1) cohomology groups E*(Z) with Gn+1–action indexed by finite subspectra Z. In this note we reformulate and extend the above result. We construct a symmetric monoidal functor F from the category of E*(E)–precomodules to the category of K*(K)–comodules. Then we show that K*(X) is naturally isomorphic to the inverse limit of F(E*(Z)) as a K*(K)–comodule.

Dedicated to Professor Nishida on the occasion of his 60th birthday

Keywords

Milnor operation, generalized Chern character, Morava stabilizer group

Mathematical Subject Classification

Primary: 55N22

Secondary: 55N20, 55S05

References
Publication

Received: 24 September 2004
Revised: 30 May 2005
Published: 18 April 2007

Authors
Takeshi Torii
Department of Applied Mathematics
Fukuoka University
Fukuoka 814-0180
Japan