Homotopy Theory for C^{*}-algebras
K-Theory and Homology
2013-03-11 v4 Algebraic Topology
Operator Algebras
Abstract
Category of fibrant objects is a convenient framework to do homotopy theory, introduced and developed by Ken Brown. In this paper, we apply it to the category of C^{*}-algebras. In particular, we get a unified treatment of (ordinary) homotopy theory for C^{*}-algebras, KK-theory and E-theory, as all of these can be expressed as the homotopy category of a category of fibrant objects.
Keywords
Cite
@article{arxiv.1011.2926,
title = {Homotopy Theory for C^{*}-algebras},
author = {Otgonbayar Uuye},
journal= {arXiv preprint arXiv:1011.2926},
year = {2013}
}
Comments
18 pages, to appear in the Journal of NCG; v3 added URLs to two references; v4 an example with mistake is removed