Asymptotic unitary equivalence in C∗-algebras
نویسندگان
چکیده
Let C = C(X) be the unital C*-algebra of all continuous functions on a finite CW complex X and let A be a unital simple C*-algebra with tracial rank at most one. We show that two unital monomorphisms φ,ψ : C → A are asymptotically unitarily equivalent, i.e., there exists a continuous path of unitaries {ut : t ∈ [0, 1)} ⊂ A such that lim t→1 utφ(f)ut = ψ(f) for all f ∈ C(X),
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