Localization for THH(ku) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
Author : Andrew J. Blumberg
Publisher :
ISBN 13 : 9781470461409
Total Pages : 112 pages
Book Rating : 4.4/5 (614 download)
Book Synopsis Localization for THH(ku) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories by : Andrew J. Blumberg
Download or read book Localization for THH(ku) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories written by Andrew J. Blumberg and published by . This book was released on with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 dévissage 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(*).
