Decomposable approximations revisited
| Autor: | Brown, NP, Carrión, JR, White, S, Carlsen, T-M, Larsen, N, Neshveyev, S, Skau, C |
|---|---|
| Přispěvatelé: | Carlsen, Toke M., Larsen, Nadia S., Neshveyev, Sergey, Skau, Christian, Carlsen, T-M, Larsen, N, Neshveyev, S, Skau, C |
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
46L05 Approximation property 010102 general mathematics Multiplicative function Mathematics - Operator Algebras 16. Peace & justice 01 natural sciences If and only if 0103 physical sciences FOS: Mathematics Convex combination 010307 mathematical physics 0101 mathematics Operator Algebras (math.OA) Computer Science::Databases Mathematics |
| Zdroj: | Operator Algebras and Applications ISBN: 9783319392844 |
| Popis: | 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. New section 4 added, providing a lifting lemma needed for the statement of Prop 3.2. Footnote 5 added to end of proof of Prop 3.2, and bibliography and precise locations of references updated. No other changes made to sects 1-3. 19 Pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|