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Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories (Memoirs of the American Mathematical Society) - Softcover
Synopsis
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 $A(*)$.
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About the Author
Andrew J. Blumberg, The University of Texas, Austin, TX, USA.
Michael A. Mandell, Indiana University, Bloomington, IN, USA.
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Localization for THH(ku) and the topological Hochschild and cyclic homology of Waldhausen categories. Memoirs of the American Mathematical Society; volume 265, number 1286 (third of 6 numbers).
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Providence, AMS, American Mathematical Society, 2020
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Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
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ISBN 13: 9781470441784
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Localization for Thhku and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
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Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
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American Mathematical Society, 2020
ISBN 10: 1470441780
ISBN 13: 9781470441784
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Localization for Thhku and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
Published by
Amer Mathematical Society, 2020
ISBN 10: 1470441780
ISBN 13: 9781470441784
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Localization for Thhku and the Topological Hochschild and Cyclic Homology of Waldhausen Categories (Memoirs of the American Mathematical Society)
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Amer Mathematical Society, 2020
ISBN 10: 1470441780
ISBN 13: 9781470441784
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Localization for Thhku and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
Published by
Amer Mathematical Society, 2020
ISBN 10: 1470441780
ISBN 13: 9781470441784
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Softcover
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Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
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American Mathematical Society, 2021
ISBN 10: 1470441780
ISBN 13: 9781470441784
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Einband - flex.(Paperback). Condition: New. 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 devi. Seller Inventory # 595975236
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Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
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ISBN 13: 9781470441784
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