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Homotopy-theoretic E-theory and n-order

Published 27 Feb 2013 in math.OA, math.AT, and math.KT | (1302.6924v2)

Abstract: The bootstrap category in E-theory for C*-algebras over a finite space X is embedded into the homotopy category of certain diagrams of K-module spectra. Therefore it has infinite n-order for every n. The same holds for the bootstrap category in G-equivariant E-theory for a compact group G and for the Spanier--Whitehead category in connective E-theory.

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