Homomorphisms into simple -stable -algebras, II
Guihua Gong
Hebei Normal University, China; University of Puerto Rico, Rio Piedras, USAHuaxin Lin
East China Normal University, Shanghai, China; University of Oregon, Eugene, USAZhuang Niu
University of Woyming, Laramie, USA
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Abstract
Let and be unital finite separable simple amenable -algebras which satisfy the UCT, and is -stable. Following Gong, Lin, and Niu (2020), we show that two unital homomorphisms from to are approximately unitarily equivalent if and only if they induce the same element in , the same affine map on tracial states, and the same Hausdorffified algebraic group homomorphism. A complete description of the range of the invariant for unital homomorphisms is also given.
Cite this article
Guihua Gong, Huaxin Lin, Zhuang Niu, Homomorphisms into simple -stable -algebras, II. J. Noncommut. Geom. 17 (2023), no. 3, pp. 835–898
DOI 10.4171/JNCG/490