REGISTRATION FEE
50€
(includes coffee breaks and access to all talks; lunch and dinner not included).
Barcelona Weekend on Operator Algebras
to January 31, 2026
Venue: Centre de Recerca Matemàtica
Room: Auditorium
Notice: All registrations will be closed from December 24, 2025, to January 11, 2026 (inclusive). Registration will reopen again from January 12 to 16, 2026.
ORGANISING committee
Ramon Antoine | Universitat Autònoma de Barcelona – CRM
Joan Bosa | Universidad de Zaragoza
Francesc Perera | Universitat Autònoma de Barcelona – CRM
lecturers
Ben Bouwen
Czech Academy of Sciences
Joan Claramunt
Universitat Politècnica de Catalunya
Shanshan Hua
University of Oxford
Fernando Lledó
Universidad Carlos III
Conchita Martínez
Universidad de Zaragoza
Guillem Quingles
Universitat Autònoma de Barcelona
Apurva Seth
University of Oxford
Strict comparison for twisted group C∗-algebras
Eduard Vilalta
Universitat Politècnica de Catalunya
Abstract
Joachim Zacharias
University of Glasgow
LIST OF PARTICIPANTS
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acknowledgement
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For inquiries about this event please contact the Scientific Events Coordinator Ms. Núria Hernández at nhernandez@crm.cat
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Strict comparison is a fundamental property of C∗-algebras, originally introduced by Blackadar to capture the appropiate generalization of Murray-von Neumann comparison theory for factors. Since its introduction, it has become a cornerstone of the modern structure theory of C∗-algebras.
A key feature of strict comparison is its versatility: it is useful for both nuclear and non-nuclear C*-algebras, with applications ranging from classification results to the recent negative solution of the Tarski problem. A central line of research has been to determine which (reduced, possibly twisted) group C*-algebras possess this property—a question that has seen significant progress in both the amenable and non-amenable settings.
In this talk, I will outline the main ideas underlying these developments and discuss, in particular, recent joint work with S. Raum and H. Thiel