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Tracial and G-invariant States on Quantum Groups

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Quantum Groups Courses Operator Algebra Courses C* algebras Courses Noncommutative Geometry Courses

Course Description

Overview

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Explore the relationship between tracial states and G-invariant states on quantum group reduced C*-algebras in this 34-minute lecture by Benjamin Anderson-Sackaney from Université de Caen-Normandie. Delve into the analogy between conjugation-invariant states on discrete group C*-algebras and their quantum counterparts. Examine recent findings by Kalantar, Kasprzak, Skalski, and Vergnioux revealing a correspondence between G-invariant states and KMS-states, highlighting differences between tracial and G-invariant states for non-unimodular quantum groups. Discover how the connection between traceability and G-invariance can still provide valuable insights into the tracial states of C_r(ℏG), despite these disparities.

Syllabus

Benjamin Anderson-Sackaney - Tracial and G-invariant States on Quantum Groups


Taught by

Institut des Hautes Etudes Scientifiques (IHES)

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