The 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, since all of these can be expressed as the homotopy theory of a category of fibrant objects. © European Mathematical Society.
CITATION STYLE
Uuye, O. (2013). Homotopical algebra for C*-algebras. Journal of Noncommutative Geometry, 7(4), 981–1006. https://doi.org/10.4171/JNCG/141
Mendeley helps you to discover research relevant for your work.