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

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 $A(*)$.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Memoirs of the American Mathematical Society
Release date:	2021
Authors:	Andrew J. Blumberg • Michael A. Mandell
Dimensions:	254 x 178mm (L x W)
Format:	Paperback
Pages:	100
ISBN-13:	978-1-4704-4178-4
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Topology > General
LSN:	1-4704-4178-0
Barcode:	9781470441784

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