The multiplier algebra of a nuclear quasidiagonal C*-algebra

DOI10.1112/BLMS/BDN062zbMATH Open1158.46043arXivmath/0510317OpenAlexW1993209422MaRDI QIDQ3529391

P. W. Ng

Publication date: 9 October 2008

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Abstract: The subject of quasidiagonality is of much interest in many places - among other things, in the classification program for simple unital separable nuclear C*-algebras. In this note, we give two characterizations of nuclearity and quasidiagonality (for simple unital separable C*-algebras). Our first characterization is the nuclear analogue of Dadarlat's characterization of exact quasidiagonal C*-algebras. Our second characterizatiion is "dual" to the interesting (and important) Popa property first studied by Popa.

Full work available at URL: https://arxiv.org/abs/math/0510317

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35)

Related Items (2)

STRUCTURE OF NUCLEAR C*-ALGEBRAS: FROM QUASIDIAGONALITY TO CLASSIFICATION AND BACK AGAIN ⋮ Title not available (Why is that?)

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