The Lefschetz -Reidemeister Trace in Algebraic K -Theory
Iwashita, Yuichi
This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/86976
Description
Title
The Lefschetz -Reidemeister Trace in Algebraic K -Theory
Author(s)
Iwashita, Yuichi
Issue Date
1999
Doctoral Committee Chair(s)
McCarthy, Randy
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
The thesis obtains the Lefschetz-Reidemeister trace of a self-map as the image under a map of spaces whose domain is the K-theory of a ring with a bimodule and whose range is the Hochschild homology of the ring with the bimodule. One also recovers the Lefschetz-Nielsen series of the self-map in a similar context. This point of view suggests a natural extension of the notion of the Lefschetz-Reidemeister trace to the higher K-theories and provides a coordinate free description of the process.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
