Decomposable approximations revisited

Nathanial P. Brown, José R. Carrión, Stuart White

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

Nuclear C∗-algebras enjoy a number of approximation properties, most famously the completely positive approximation property. This was recently sharpened to arrange for the incoming maps to be sums of order-zero maps. We show that, in addition, the outgoing maps can be chosen to be asymptotically order-zero. Further these maps can be chosen to be asymptotically multiplicative if and only if the C∗-algebra and all its traces are quasidiagonal.

Original languageEnglish (US)
Title of host publicationOperator Algebras and Applications - The Abel Symposium 2015
EditorsNadia S. Larsen, Sergey Neshveyev, Christian Skau, Toke M. Carlsen
PublisherSpringer International Publishing
Pages45-59
Number of pages15
ISBN (Print)9783319392844
DOIs
StatePublished - 2016
EventSymposium on Operator Algebras and Applications, 2015 - Harstad, Norway
Duration: Aug 7 2015Aug 11 2015

Publication series

NameAbel Symposia
Volume12
ISSN (Print)2193-2808
ISSN (Electronic)2197-8549

Other

OtherSymposium on Operator Algebras and Applications, 2015
CountryNorway
CityHarstad
Period8/7/158/11/15

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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