BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

A new proof of Kirchberg's classification of $O_\infty$-stable C*-algebras Gabe, Jamie


I will outline a new proof of Kirchberg's classification of all separable, nuclear, $O_\infty$-stable C*-algebras using ideal related KK-theory. In particular, this gives a new, short and more elementary proof of the Kirchberg-Phillips theorem. The new key ingredient is an elementary trick which combines infiniteness and quasidiagonality of representations.

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