Multiplicative structures on algebraic $K$-theory
Copyright policy )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 obtain the Deligne Conjecture for this form of K -theory.
- Massachusetts Institute of Technology United States
- University of Edinburgh United Kingdom
multiplicative structures, Algebraic \(K\)-theory of spaces, Mathematics - Category Theory, K-Theory and Homology (math.KT), Deligne conjecture, Waldhausen \(\infty\)-categories, Monoidal, symmetric monoidal and braided categories, algebraic \(K\)-theory, Homotopy functors in algebraic topology, Mathematics - K-Theory and Homology, FOS: Mathematics, Operads, Category Theory (math.CT), \(K\)-theory and homology; cyclic homology and cohomology
multiplicative structures, Algebraic \(K\)-theory of spaces, Mathematics - Category Theory, K-Theory and Homology (math.KT), Deligne conjecture, Waldhausen \(\infty\)-categories, Monoidal, symmetric monoidal and braided categories, algebraic \(K\)-theory, Homotopy functors in algebraic topology, Mathematics - K-Theory and Homology, FOS: Mathematics, Operads, Category Theory (math.CT), \(K\)-theory and homology; cyclic homology and cohomology
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