Relations between asymptotic and Fredholm representations

V. M. Manuilov, A. S. Mishchenko

We prove that for matrix algebras $M_n$ there exists a monomorphism $({\prod }_n{M}_n/{\oplus }_n{M}_n)\otimes C(S^1)\to \mathcal{Q}$ into the Calkin algebra which induces an isomorphism of…