Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
Seiten
2021
American Mathematical Society (Verlag)
978-1-4704-4178-4 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-4178-4 (ISBN)
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 $A(*)$.
Andrew J. Blumberg, The University of Texas, Austin, TX, USA. Michael A. Mandell, Indiana University, Bloomington, IN, USA.
Erscheinungsdatum | 02.07.2020 |
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Reihe/Serie | Memoirs of the American Mathematical Society |
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 215 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 1-4704-4178-0 / 1470441780 |
ISBN-13 | 978-1-4704-4178-4 / 9781470441784 |
Zustand | Neuware |
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