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Part of the book series: Algebra and Applications ((AA,volume 18))

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Abstract

The trace from algebraic K-theory to topological Hochschild homology is introduced. This is expressed as an inclusion of fixed points by a group action of the circle on topological Hochschild homology. The equivalence of stable K-theory with topological Hochschild homology is then proved to be induced by the trace map.

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Dundas, B.I., Goodwillie, T.G., McCarthy, R. (2013). The Trace KTHH . In: The Local Structure of Algebraic K-Theory. Algebra and Applications, vol 18. Springer, London. https://doi.org/10.1007/978-1-4471-4393-2_5

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