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Stefan Wagner: Hilbert Modules – in real life

Välkommen till en föreläsning i seminarieserien i matematik.

Föreläsare/Lecturer

Stefan Wagner

Titel/Title

Hilbert Modules – in real life

Sammanfattning/Abstract

Hilbert modules form a category between Banach spaces (they have a little extra geometrical structure) and Hilbert spaces (they do not behave as well as these). To be a little bit more precise, Hilbert modules obey the same axioms as ordinary Hilbert spaces – except that their inner products take values in more general C*-algebras than the complex numbers. 

In this talk we introduce Hilbert modules in detail and present some of their applications in modern C*-theory with an emphasis on the classification of free C*-dynamical systems. 

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