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Localization for THH(ku) and the topological Hochschild and cyclic homology of Waldhausen categories /
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 pro...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
[2020].
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1286. |
| Temas: |
$K$-theory [See also 16E20, 18F25]
> Higher algebraic $K$-theory
> $K$-theory and homology; cyclic homology and cohomology [See also 18G60].
Algebraic topology
> Homotopy theory {For simple homotopy type, see 57Q10}
> Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.).
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| Acceso en línea: | Texto completo |
| Sumario: | 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(*). |
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| Descripción Física: | 1 online resource (v, 112 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 1470461404 9781470461409 |