Homotopy-theoretic E-theory and n-order

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.

7 pages

References in corpus (2)

• On the Algebraic Classification of Module Spectra
• A functorial equivariant K-theory spectrum and an equivariant Lefschetz formula

Cited by in corpus (1)

• Noncommutative stable homotopy and stable infinity categories