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arxiv: 1302.6924 · v2 · pith:45NZDO64new · submitted 2013-02-27 · 🧮 math.OA · math.AT· math.KT

Homotopy-theoretic E-theory and n-order

classification 🧮 math.OA math.ATmath.KT
keywords categorye-theorybootstrapn-orderalgebrascertaincompactconnective
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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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