Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
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- Bog, paperback
- Engelsk
- 100 sider
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Beskrivelse
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 $A(*)$.
Detaljer
- SprogEngelsk
- Sidetal100
- Udgivelsesdato30-01-2021
- ISBN139781470441784
- Forlag American Mathematical Society
- FormatPaperback
Størrelse og vægt
10 cm
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- Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories