Localization for THH(ku) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
| Title | Localization for THH(ku) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories PDF eBook |
| Author | Andrew J. Blumberg |
| Publisher | |
| Pages | 112 |
| Release | |
| Genre | Algebraic topology |
| ISBN | 9781470461409 |
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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(*).