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Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories (Paperback)
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Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories (Paperback)
Series: Memoirs of the American Mathematical Society
Expected to ship within 12 - 17 working days
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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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