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University of Illinois at Urbana-Champaign
The Lefschetz -Reidemeister Trace in Algebraic K -Theory
Abstract
dc:descriptionThe 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.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Iwashita, Yuichi
- Contributors dc:contributor
-
- McCarthy, Randy
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI9944891
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86976