Localization for Thhku and the Topological Hochschild and Cyclic Homology of Waldhausen Categories - Brossura

Blumberg, Andrew J.; Mandell, Michael A.

Brossura

ISBN 10: 1470441780 ISBN 13: 9781470441784

Casa editrice: Amer Mathematical Society, 2021

Riassunto

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 $A(*)$.

Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2021
• Lingua: Inglese
• ISBN 10: 1470441780
• ISBN 13: 9781470441784
• Rilegatura: Copertina flessibile
• Numero di pagine: 100
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile