  In this article we build a Quillen model category structure on the category
of sequentially complete l.m.c.-C*-algebras such that the corresponding
homotopy classes of maps Ho(A,B) for separable C*-algebras A and B coincide
with the Kasparov groups KK(A,B). This answers an open question posed by Mark
Hovey about the possibility of describing KK-theory for C*-algebras using the
language of Quillen model categories.
