Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories (eBook)

Andrew J Blumberg (Autor)

eBook Download: PDF

100 Seiten
American Mathematical Society (Verlag)
978-1-4704-6140-9 (ISBN)

Infos

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 $A(*)$.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-6140-4 / 1470461404
• ISBN-13: 978-1-4704-6140-9 / 9781470461409