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Lecture Series by K Strung-2

Monday, May 7, 2018 - 15:00 to 16:30
Seminar Room, School of Mathematical Sciences
Karen Strung
Radboud University - Radboud University
C*-algebras, Dynamical Systems, and Classification

Simple unital nuclear C*-algebras, assuming a minor finiteness condition and the so-called UCT, can be classified up to *-homomorphisms by an invariant consisting of K-theory, traces, and a pairing between these objects. I will discuss the classification of such C*-algebras by focussing on the classification for C*-algebras arising from two interesting classes of dynamical systems: minimal homeomorphisms with mean dimension zero and mixing Smale spaces.In my fist lecture I will introduce the classification programme as well as the construction of C*-algebra from dynamical systems via crossed products and groupoids.In my second lecture, I will discuss properties and detail the classification of the two classes mentioned above. 

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