Homomorphisms into simple Z-stable C *-algebras, II

作者：Gong, Guihua^*; Lin, Huaxin; Niu, Zhuang

来源：Journal of Noncommutative Geometry, 2023, 17(3): 835-898.

DOI：10.4171/JNCG/490

• Homomorphisms
• simple C*-algebras

Let A and B be unital finite separable simple amenable C*-algebras which satisfy the UCT, and B is Z-stable. Following Gong, Lin, and Niu (2020), we show that two unital homo-morphisms 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 K1 group homomorphism. A complete description of the range of the invariant for unital homomor-phisms is also given.