Overview of Cartan subalgebras in operator algebras

Abstract: Similar to the setting of Lie algebras, a Cartan subalgebra in a C*-algebra is a maximal abelian subalgebra with some additional properties. Unlike the setting of Lie algebras Cartan subalgebras might not exist, and if they do, they are rarely unique. I will give an overview of old and new results concerning Cartan subalgebras in C*-algebras with an emphasis on their relation to groupoids.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

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Noncommutative geometry in NYC

Series comments: Noncommutative Geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. Our seminar welcomes talks in Number Theory, Geometric Topology and Representation Theory linked to the context of Operator Algebras. All talks are kept at the entry-level accessible to the graduate students and non-experts in the field. To join us click meet.google.com/zjd-ehrs-wtx (5 min in advance) and igor DOT v DOT nikolaev AT gmail DOT com to subscribe/unsubscribe for the mailing list, to propose a talk or to suggest a speaker. Pending speaker's consent, we record and publish all talks at the hyperlink "video" on speaker's profile at the "Past talks" section. The slides can be posted by providing the organizers with a link in the format "myschool.edu/~myfolder/myslides.pdf". The duration of talks is 1 hour plus or minus 10 minutes.

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