  This paper brings together C*-algebras and algebraic topology in terms of
viewing a C*-algebraic invariant in terms of a topological spectrum. E-theory,
E(A,B), is a bivariant functor in the sense that is a cohomology functor in the
first variable and a homology functor in the second variable but underlying
goes from the category of separable C*-algebras and *-homomorphisms to the
category of abelian groups and group homomorphisms. Here we create a
generalisation of a orthogonal spectrum to quasi-topological spaces for
E-theory. This includes a rich product structure in the context of graded
separable C*-algebras.
