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Spectra associated to symmetric monoidal bicategories

Published 12 May 2010 in math.AT, math.CT, and math.KT | (1005.2227v2)

Abstract: We show how to construct a Gamma-bicategory from a symmetric monoidal bicategory, and use that to show that the classifying space is an infinite loop space upon group completion. We also show a way to relate this construction to the classic Gamma-category construction for a bipermutative category. As an example, we use this machinery to construct a delooping of the K-theory of a bimonoidal category as defined by Baas-Dundas-Rognes.

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