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

scholarly journals APPROXIMATION PROPERTIES FOR CROSSED PRODUCTS BY ACTIONS AND COACTIONS

2001 ◽  
Vol 12 (05) ◽  
pp. 595-608 ◽  
Author(s):  
MAY M. NILSEN ◽  
ROGER R. SMITH
Keyword(s):  
Approximation Property ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Crossed Products ◽  
Approximation Properties ◽  
Locally Compact ◽  
Amenable Groups ◽  
C Algebras ◽  
Approximation Constant

We investigate approximation properties for C*-algebras and their crossed products by actions and coactions by locally compact groups. We show that Haagerup's approximation constant is preserved for crossed products by arbitrary amenable groups, and we show why this is not always true in the non-amenable case. We also examine similar questions for other forms of the approximation property.

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.

An Introduction to K-Theory for C*-Algebras

2000 ◽  
Author(s):  
M. Rørdam ◽  
F. Larsen ◽  
N. Laustsen
Keyword(s):  
C Algebras ◽  
K Theory

scholarly journals Optimal transport and unitary orbits in C⁎-algebras

2021 ◽  
Vol 281 (5) ◽  
pp. 109068
Author(s):  
Bhishan Jacelon ◽  
Karen R. Strung ◽  
Alessandro Vignati
Keyword(s):  
Optimal Transport ◽  
C Algebras

Non‐associative C *‐algebras

2021 ◽  
pp. 111-153
Author(s):  
Ángel Rodríguez Palacios ◽  
Miguel Cabrera García
Keyword(s):  
C Algebras
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