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Algebraic K-Theory of ∞-Operads

Nikolaus, Thomas (2014) Algebraic K-Theory of ∞-Operads. Journal of k-theory 14, pp. 614-641.

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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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Item type:Article
Date:2014
Institutions:Mathematics > Prof. Dr. Ulrich Bunke
Identification Number:
ValueType
10.1017/is014008019jkt277DOI
Keywords:Dendroidal sets, K-theory, operads
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:34588
Owner only: item control page

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