On Kirchberg’s embedding problem
نویسنده
چکیده
A C* algebra is a closed self-adjoint subalgebra of B(H), the bounded operators on a Hilbert space H. Kirchberg asked whether every C* algebra embeds into an ultrapower of a particular C* algebra, the Cuntz algebra O_2. In this talk, I will explain the model-theoretic content of this problem. In particular, I will show how model-theoretic forcing can be used to give a weak local reformulation of the problem in terms of approximate nuclearity of tuples. No knowledge of C* algebras will be assumed and all necessary notions will be defined. This talk represents joint work with Thomas Sinclair. Title:
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