Multiplicative Structures on Algebraic K-Theory
Name
Barwick_Multiplicative structures.pdf
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208.48 KB
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Author(s) •
Barwick, Clark
Barwick, Clark Edward
Date Issued
July 2014
Journal
Documenta Mathematica
Publisher
European Math Society
Citation
Barwick, Clark. "Multiplicative Structures on Algebraic K-Theory." Documenta Mathematica 20 (2015): 859--878.
Version
Final published version
Abstract
The algebraic $K$-theory of Waldhausen $\infty$-categories is the functor corepresented by the unit object for a natural symmetric monoidal structure. We therefore regard it as the stable homotopy theory of homotopy theories. In particular, it respects all algebraic structures, and as a result, we obtain the Deligne Conjecture for this form of $K$-theory.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
http://www.math.uiuc.edu/documenta/vol-20/vol-20-eng.html