Volume 9, issue 4 (2009)

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Permutative categories, multicategories and algebraic $K$–theory

A D Elmendorf and M A Mandell

Algebraic & Geometric Topology 9 (2009) 2391–2441
Abstract

We show that the K–theory construction of our paper [Adv. Math 205 (2006) 163-228], which preserves multiplicative structure, extends to a symmetric monoidal closed bicomplete source category, with the multiplicative structure still preserved. The source category of [op cit], whose objects are permutative categories, maps fully and faithfully to the new source category, whose objects are (based) multicategories.

Keywords
$K$–theory, permutative category, multicategory
Mathematical Subject Classification 2000
Primary: 19D23, 55U99
Secondary: 55P42, 18D10, 18D50
References
Publication
Received: 9 March 2009
Revised: 1 September 2009
Accepted: 7 October 2009
Published: 3 November 2009
Authors
A D Elmendorf
Department of Mathematics
Purdue University Calumet
Hammond, IN 46323
M A Mandell
Department of Mathematics
Indiana University
Bloomington, IN 47405