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Operator Algebra and Noncommutative Geometry Seminar Series
July 25, 2019 @ 3:30 pm - 4:30 pm
Dr James Gabe (UOW)
Lifting KK-elements to *-homomorphisms.
Let A be a separable, nuclear C*-algebra, and B be a unital, properly infinite C*-algebra. I will outline how to lift any element in KK(A,B) to an injective *-homomorphism. This is the “existence part” of my new proof of the Kirchberg-Phillips theorem. The main new ingredient is the (very elementary) construction of a unitary path with magical properties.