Titel: Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
Verlag: MP-AMM American Mathematical
Ver�ffentlichungsdatum: 2021
Sprache: Englisch
ISBN-10: 1470441780
ISBN-13: 9781470441784
Bindung: PAP
Zustand: New

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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 $A(*)$.

�ber die Autorin bzw. den Autor

Andrew J. Blumberg, The University of Texas, Austin, TX, USA.

Michael A. Mandell, Indiana University, Bloomington, IN, USA.

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