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We calculate Thomsen's D-theory groups $D(\Sigma,B)$, where$\Sigma=C_0(\mathbb R)$. Furthermore, we relate the pairing $K_0(A)\timesE(A,B)\to K_0(B)$ to a similar pairing which is defined using D-theory.

Thomsen's D-theory and the K-theoretic Kronecker pairing