Publication Date:
2016
Journal:
Operator algebras and applications — The Abel Symposium 2015
Last Updated:
2020-10-25T06:01:56+00:00
Volume:
12
DOI:
10.1007/978-3-319-39286-8_2
page:
45-65
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.
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.
Symplectic id:
1049969
Submitted to ORA:
Submitted
Publication Type:
Chapter