The Multiplier Algebra of a Nuclear Quasidiagonal C-algebra
نویسنده
چکیده
We give the nuclear analogue of Dadarlat’s characterization of exact quasidiagonal C∗-algebras. Specifically, we prove the following: Theorem 0.1. Let A be a unital separable simple C∗-algebra. Then the following conditions are equivalent: i) A is nuclear and quasidiagonal. ii) A has the stabilization principle. iii) If π : A → M(A ⊗ K) is a unital, purely large ∗-homomorphism, then the image π(A) can be locally approximated by finite-dimensional ∗-subalgebras of M(A⊗K). keywords: C-algebra, nuclear, stably finite, quasidiagonal, absorbing extensions, purely large extensions, Lin extension, Kasparov extension, amenable group, multiplier algebras, strict topology. NUCLEAR AND QUASIDIAGONAL 3
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