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It's a non-commutative world

Benjamin Randeris Johannesen
Lectures for students by students
Friday, 8 March, 2013, at 14:30-15:30, in Aud. D3 (1531-215)
When coming across a set with some additional structure in any branch of mathematics, it is often a fruitful idea to consider function spaces on the set and forget about the set for a while. Indeed, much can be recovered about the original set from the function spaces, but the function spaces carry even more information. Moreover, forgetting the original set entirely opens up a whole new world. This strategy has been exploited in particular within the subject of operator algebras.

A well-known example comes from taking the continuous functions (vanishing at infinity) on some (locally) compact Hausdorff space, thereby obtaining a function space which is much more than just a function space. The idea has motivated a wide variety of subjects collected under the term: non-commutative geometry. The talk is introductory but also comes across recent activity in the area.

Everyone is welcome.
Contact person: Thomas Schmidt