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{\Large Department of Mathematics, BGU}

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{\Huge OA/OT Seminar}\\[0.2\baselineskip]

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\textbf{On} \emph{Tuesday, January 14, 2020}
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\textbf{At} \emph{11:00 -- 12:00}
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\textbf{In} \emph{-101}

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{\large\scshape Adam Dor-On 
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  (University of Copenhagen)
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will talk about
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{\Large\bfseries Classification of irreversible and reversible operator algebras\par}
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\textsc{Abstract:}
C*-algebras have been intensely studied in recent years, especially through the lens of classification via K-theoretic invariants. Prominent advances include results for Cuntz-Krieger algebras of directed graphs. One such result of Cuntz and Krieger shows that the K-theory groups of such algebras essentially coincide with Bowen-Franks groups of the subshift of finite type associated to the graph.

On the other hand, classifying non-self-adjoint operator algebras is an effort initiated by Arveson in his late 60s paper on algebras arising from one-sided measure preserving dynamics. This was later taken up by Davidson and Katsoulis in the topological scenario, where they classified non-self-adjoint operator algebras arising from multidimensional one-sided dynamical systems on compact Hausdroff spaces.

In this talk we will connect, through examples, these traditionally unrelated classification schemes. We survey some pertinent results from the literature and uncover a striking hierarchy of classification for irreversible and reversible operator algebras.





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{\bfseries Please Note the Unusual Time!}
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