2010/11/12 by Uuye, Otgonbayar
#46L85 #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.1011.2926
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.