Operator algebras and their classification

15.05.2024, 14:00 - 16 00  –  Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium

Karen Strung (Czech Academy of Science, Prague), Sven Raum (Potsdam)

14:00  Karen Strung (Czech Academy of Science, Prague):  Operator algebras arising from topological dynamics.
14:45  Tea and Coffee Break
15:15  Sven Raum (Uni Potsdam):  Operator algebras from approximate lattices.

Karen Strung (Czech Academy of Science, Prague):  Operator algebras arising from topological dynamics.

Abstract:     One meets C*-algebras in many areas of mathematics, sometimes without even being aware that it is a C*-algebra. A prototype is the algebra of bounded operators acting on a Hilbert space and many of its subalgebras. Despite the multitude of examples, a recent breakthrough result could classify a significant class of C*-algebras. With this abstract classification theorem in hand, we are left with questions about which "naturally occurring" C*-algebras are covered by the theorem. In this talk I address the question which C*-algebras arising from topological dynamical systems are covered and will discuss the underlying classification programme for C*-algebras.

Sven Raum (Uni Potsdam):  Operator algebras from approximate lattices.

Abstract:     In operator algebras a common belief is that first associating a C*-algebra to a classical object and then understanding some of the C*-algebra's invariants can lead to a new perspective on the classical object. In this talk I will first introduce approximate lattices, which generalise mathematical quasi-crystals to other groups but R^n. I will then show how to associate a C*-algebra to such approximate lattices. Finally, I will explain why these algebras fit into Elliott's classification programme for C*-algebras, which tells us exactly which invariants of C*-algebra describe it up to isomorphism.

Wenn Sie digital an den Vorträgen teilnehmen möchten, wenden Sie sich bitte an Christian Molle molle@uni-potsdam.de, um die Zugangsdaten zu erhalten.