2016/12/10 by Sharifi, Kamran
#46L08 #46M20 #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Primary 46L80 #Secondary 19K35
paper · doi:10.48550/arxiv.1612.03287
K-theory for σ-C*-algebras (countable inverse limits of C*-algebras) has been investigated by N. C. Phillips [\it K-Theory \bf 3 (1989), 441--478]. We use his representable K-theory to show that the space of Fredholm modular operators with coefficients in an arbitrary unital σ-C*-algebra A, represents the functor X ↦ \rm RK0(C(X, A)) from the category of countably compactly generated spaces to the category of abelian groups.