Multiplicative structures on algebraic $K$-theory
Documenta mathematica, Tome 20 (2015), pp. 859-878
The algebraic K-theory of Waldhausen ∞-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.
Classification :
19D10, 19D55
Mots-clés : algebraic K-theory, waldhausen infty-categories, multiplicative structures, Deligne conjecture
Mots-clés : algebraic K-theory, waldhausen infty-categories, multiplicative structures, Deligne conjecture
@article{10_4171_dm_507,
author = {Clark Barwick},
title = {Multiplicative structures on algebraic $K$-theory},
journal = {Documenta mathematica},
pages = {859--878},
year = {2015},
volume = {20},
doi = {10.4171/dm/507},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/507/}
}
Clark Barwick. Multiplicative structures on algebraic $K$-theory. Documenta mathematica, Tome 20 (2015), pp. 859-878. doi: 10.4171/dm/507
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