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Algebraic K-Theory of ∞-Operads

URN to cite this document:
urn:nbn:de:bvb:355-epub-345883
DOI to cite this document:
10.5283/epub.34588
Nikolaus, Thomas
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Date of publication of this fulltext: 30 Sep 2016 08:35


Abstract

The theory of dendroidal sets has been developed to serve as a combinatorial model for homotopy coherent operads, see [MW07, CM13b]. An ∞-operad is a dendroidal set D satisfying certain lifting conditions. In this paper we give a definition of K-groups Kn (D) for a dendroidal set D. These groups generalize the K-theory of symmetric monoidal (resp. permutative) categories and algebraic K-theory of ...

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