{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/86976"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/86976","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The Lefschetz -Reidemeister Trace in Algebraic K -Theory","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. 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