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Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories (Memoirs of the American Mathematical Society)

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Description

About the Author Andrew J. Blumberg, The University of Texas, Austin, TX, USA.Michael A. Mandell, Indiana University, Bloomington, IN, USA. Product Description The authors develop a theory of $THH$ and $TC$ of Waldhausen categories and prove the analogues of Waldhausen's theorems for $K$-theory. They resolve the longstanding confusion about localization sequences in $THH$ and $TC$, and establish a specialized devissage theorem. As applications, the authors prove conjectures of Hesselholt and Ausoni-Rognes about localization cofiber sequences surrounding $THH(ku)$, and more generally establish a framework for advancing the Rognes program for studying Waldhausen's chromatic filtration on $A(*)$.

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Format
paperback
Domain
Amazon UK
Release Date
30 June 2020
Listed Since
04 May 2020

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