Proc. London Math. Soc.
Abstract of Paper PLMS 1443
Let $A$ and $B$ be C*-algebras, with $A$ separable and $B$ $\sigma$-unital and stable. It is shown that there are natural isomorphisms
$$ E(A,B) = KK(SA,Q(B)) = [SA,Q(B) \otimes K], $$
where $SA=C_0(0, 1) \otimes A$, $[\cdot, \cdot]$ denotes the set of homotopy classes of *-homomorphisms, $Q(B) = M(B) / B$ is the generalized Calkin algebra, and $K$ denotes the C*-algebra of compact operators of an infinite-dimensional separable Hilbert space.2000 Mathematical Subject Classification: 19K35, 19K33, 46M15.
Keywords: KK-theory, E-theory, extensions of C*-algebras
E-mail:
manuilov@higeom.math.msu.su
matkt@imf.au.dk
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