Multiplicative Structures on Algebraic K-Theory
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 o...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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European Math Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/109883 |
| _version_ | 1826199462606798848 |
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| author | Barwick, Clark Barwick, Clark Edward |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Barwick, Clark Barwick, Clark Edward |
| author_sort | Barwick, Clark |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T11:20:17Z |
| format | Article |
| id | mit-1721.1/109883 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:20:17Z |
| publishDate | 2017 |
| publisher | European Math Society |
| record_format | dspace |
| spelling | mit-1721.1/1098832022-10-01T02:56:35Z Multiplicative Structures on Algebraic K-Theory Barwick, Clark Barwick, Clark Edward Massachusetts Institute of Technology. Department of Mathematics Barwick, Clark Edward 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. 2017-06-15T14:22:05Z 2017-06-15T14:22:05Z 2014-07 2013-04 Article http://purl.org/eprint/type/JournalArticle 1431-0635 1431-0643 http://hdl.handle.net/1721.1/109883 Barwick, Clark. "Multiplicative Structures on Algebraic K-Theory." Documenta Mathematica 20 (2015): 859--878. en_US http://www.math.uiuc.edu/documenta/vol-20/vol-20-eng.html Documenta Mathematica Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf European Math Society arXiv |
| spellingShingle | Barwick, Clark Barwick, Clark Edward Multiplicative Structures on Algebraic K-Theory |
| title | Multiplicative Structures on Algebraic K-Theory |
| title_full | Multiplicative Structures on Algebraic K-Theory |
| title_fullStr | Multiplicative Structures on Algebraic K-Theory |
| title_full_unstemmed | Multiplicative Structures on Algebraic K-Theory |
| title_short | Multiplicative Structures on Algebraic K-Theory |
| title_sort | multiplicative structures on algebraic k theory |
| url | http://hdl.handle.net/1721.1/109883 |
| work_keys_str_mv | AT barwickclark multiplicativestructuresonalgebraicktheory AT barwickclarkedward multiplicativestructuresonalgebraicktheory |