A Remark on Quantum Group Actions and Nuclearity
S. Doplicher, R. Longo, J. E. Roberts, L. Zsido
Abstract
Let H be a compact quantum group with faithful Haar measure and bounded counit. If H acts on a C*-algebra A, we show that A is nuclear if and only if its fixed-point subalgebra is nuclear. As a consequence H is a nuclear C*-algebra.
Create a lesson
Related papers
Geometric Aspects of C*-Extreme Points II
Neha Hotwani
The Nuclear Dimension of Extensions and Graph C*-Algebras
Samuel Evington, Gregory Faurot, Christopher Schafhauser
Degree and arity of tracial separation for self-adjoint contractions
Jie Wang
Noncommutative extensions of an ergodic theorem of Breiman
Morgan O'Brien
The relative dimension set of an extremal subfactor of finite index
Julio Cáceres
The Carpenter property for subfactors of uniform infinite index
Dietmar Bisch, Julio Cáceres