Homotopy Theory for C^{*}-algebras
arXiv:1011.2926
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.
18 pages, to appear in the Journal of NCG; v3 added URLs to two references; v4 an example with mistake is removed