English

Homotopy-theoretic E-theory and n-order

Operator Algebras 2014-03-17 v2 Algebraic Topology K-Theory and Homology

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.

Keywords

Cite

@article{arxiv.1302.6924,
  title  = {Homotopy-theoretic E-theory and n-order},
  author = {Rasmus Bentmann},
  journal= {arXiv preprint arXiv:1302.6924},
  year   = {2014}
}

Comments

7 pages

R2 v1 2026-06-21T23:33:50.700Z