Equivalent operator categories

Classification of operator algebras: complexity, rigidity, and dynamics

11 March 14:00 - 15:00

David Sherman - University of Virginia

Leaving rigorous definitions to the talk, "operator categories" are an umbrella concept for things built from Hilbert space operators, including C*-algebras, operator systems, hereditary manifolds, operator algebras, Jordan operator algebras, etc. I will show how to associate the following three features to any such category: a topology, a representation theory, and a convexity/dilation theory. It turns out that if one of these features agrees for a pair of categories, then all three do, in which case the categories are called equivalent. I will discuss some equivalences, along the way obtaining new observations about Arveson's hyperrigidity and maybe even triangles.
Marius Dadarlat
Purdue University
Søren Eilers
University of Copenhagen
Asger Törnquist
University of Copenhagen


Søren Eilers


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