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A new proof of Kirchberg's classification of O∞-stable C*-algebras

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A new proof of Kirchberg's classification of O∞-stable C*-algebras
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17
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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I will outline a new proof of Kirchberg's classification of all separable, nuclear, O∞-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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