Homomorphisms into simple Z-stable C*-algebras (Dedicated to ECNU on her 70th anniversary)

Huaxin Lin ÁÖ»ªÐÂ

13:00-14:00, September 22, 2021 Tencent Meeting 991294776

__Abstract:__

Let A and B be unital finite separable simple amenable C*-algebras which satisfy the UCT, and B is Z-stable. We show that two unital homomorphisms from A to B are approximately unitarily equivalent if and only if they induce the same element in KL(A, B), the same affine map on tracial states and the same Hausdorffified algebraic K_1 group homomorphism. A complete description of the range of invariant for unital homomorphisms is also given.

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