scholarly journals Reduced group $C^*$-algebras with the metric approximation property by positive maps

1987 ◽  
Vol 63 (8) ◽  
pp. 304-306
Author(s):  
Masatoshi Enomoto ◽  
Yasuo Watatani
Keyword(s):  
Approximation Property ◽  
C Algebras ◽  
Positive Maps ◽  
Reduced Group ◽  
Metric Approximation

scholarly journals Forcing axioms and coronas of C∗-algebras

2020 ◽  
pp. 2150006
Author(s):  
Paul McKenney ◽  
Alessandro Vignati
Keyword(s):  
Approximation Property ◽  
Approximate Identity ◽  
Large Classes ◽  
Forcing Axioms ◽  
Rigidity Results ◽  
C Algebras ◽  
Proper Forcing Axiom ◽  
Proper Forcing ◽  
Metric Approximation ◽  
Forcing Axiom

We prove rigidity results for large classes of corona algebras, assuming the Proper Forcing Axiom. In particular, we prove that a conjecture of Coskey and Farah holds for all separable [Formula: see text]-algebras with the metric approximation property and an increasing approximate identity of projections.

scholarly journals Non-linear positive maps between C*-algebras

2018 ◽  
Vol 68 (8) ◽  
pp. 1501-1517
Author(s):  
Ali Dadkhah ◽  
Mohammad Sal Moslehian
Keyword(s):  
C Algebras ◽  
Positive Maps ◽  
Non Linear

MODULES OVER MONOTONE COMPLETE C*-ALGEBRAS

1992 ◽  
Vol 03 (02) ◽  
pp. 185-204 ◽  
Author(s):  
MASAMICHI HAMANA
Keyword(s):  
Completely Positive Maps ◽  
Completely Positive ◽  
C Algebra ◽  
C Algebras ◽  
Positive Maps

The main result asserts that given two monotone complete C*-algebras A and B, B is faithfully represented as a monotone closed C*-subalgebra of the monotone complete C*-algebra End A(X) consisting of all bounded module endomorphisms of some self-dual Hilbert A-module X if and only if there are sufficiently many normal completely positive maps of B into A. The key to the proof is the fact that each pre-Hilbert A-module can be completed uniquely to a self-dual Hilbert A-module.

scholarly journals The weak metric approximation property

2005 ◽  
Vol 333 (3) ◽  
pp. 471-484 ◽  
Author(s):  
Åsvald Lima ◽  
Eve Oja
Keyword(s):  
Approximation Property ◽  
Metric Approximation

Nuclear C ∗ -Algebras and the Approximation Property

1978 ◽  
Vol 100 (1) ◽  
pp. 61 ◽  
Author(s):  
Man-Duen Choi ◽  
Edward G. Effros
Keyword(s):  
Approximation Property ◽  
C Algebras
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