A REMARK ON QUANTUM GROUP ACTIONS AND NUCLEARITY-Reference-Cited by-同舟云学术

A REMARK ON QUANTUM GROUP ACTIONS AND NUCLEARITY

Published:2002-07 Issue:07n08 Volume:14 Page:787-796
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

DOPLICHER S.¹,LONGO R.²,ROBERTS J. E.²,ZSIDÓ L.²

Affiliation:

1. Dipartimento di Matematica, Università di Roma "La Sapienza", Piazzale A. Moro 5, I-00185 Roma, Italy

2. Dipartimento di Matematica, Università di Roma "Tor Vergata", Via della Ricerca Scientifica 1, I- 00133 Roma, Italy

Abstract

Let H be a compact quantum group with faithful Haar measure and bounded counit. If α is an action of H on a C*- algebra A, we show that A is nuclear if and only if the fixed-point subalgebra Aα is nuclear. As a consequence H is a nuclear C*-algebra.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X02001399

Reference14 articles.

1. Classification of Injective Factors Cases II 1 , II ∞ , III λ , λ � 1

2. Duals of compact Lie groups realized in the Cuntz algebras and their actions on C∗-algebras

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