Operator Algebras Seminar: KK-rigidity of simple nuclear C*-algebras

Speaker: Christopher Schafhauser (UNIVERSITY of NEBRASKA–LINCOLN)

Time: 2025-07-25 10:00
Location: R1410, SIMIS
Zoom Meeting ID: 886 1357 2971 (Passcode:SIMIS)

Abstract
A landmark result in C*-algebra theory is the classification of unital separable simple nuclear Z-stable C*-algebras satisfying the universal coefficient theorem (UCT) in terms of their K-theory and traces. I will discuss this result with a focus on the role of UCT.  In the infinite setting, without the UCT, two unital Kirchberg algebras are isomorphic if and only if they are KK-equivalent in a unit-preserving way. I’ll discuss some results along these lines in the finite case.


About Speaker:
Christopher Schafhauser is an Assistant Professor at the University of Nebraska–Lincoln. His research primarily focuses on operator algebras, with his work published in prestigious journals including: Ann. of Math., J. Reine Angew. Math., Duke Math. J., Adv. Math., etc.

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