Much of the richness and fascination of operator algebras derives from the fact that their structure theory admits a special dialectical character that bridges two points of view. On the one hand, large classes of examples can be built from data of a group-theoretic, dynamical, or combinatorial nature that then registers with varying degrees of faithfulness at the algebraic level. On the other hand, the abstract analysis of internal structure often reveals unexpected symmetries that may not be immediately apparent in individual examples and that can be ascribed to the extra homogeneity that distinguishes operator algebras from the more rigid parametrized set-up of, say, group actions or groupoids. The workshop will explore the various ways in which this dialectic plays out in current research across a spectrum of themes in C*-algebras and von Neumann algebras.

Speakers

• Michael Brannan, University of Waterloo
• Ionut Chifan, University of Iowa
• Raphaël Clouâtre, University of Manitoba
• Anna Duwenig, Katholieke Universiteit Leuven
• George Elliott, University of Toronto
• Elizabeth Gillaspy, University of Montana
• Daniel Gonçalves, Universidade Federal de Santa Catarina
• Marcelo Laca, University of Victoria
• Ying-Fen Lin, Queen's University Belfast
• Abraham Ng, University of Wollongong
• Sarah Reznikoff, Virginia Tech
• Camila Sehnem, University of Waterloo
• Yuhei Suzuki, Hokkaido University
• Hannes Thiel, Chalmers University of Technology & University of Gothenburg
• Ilija Tolich, Victoria University of Wellington
• Matthew Wiersma, University of Winnipeg
• Lise Wouters, Katholieke Universiteit Leuven

You can find all talk recordings here: https://www.youtube.com/playlist?list=PLArBKNfJxuulL6aiEa2LdAJ-tJJcRXd85