Geodesic
HILBERT C*-BIMODULES OF FINITE INDEX AND APPROXIMATION PROPERTIES OF C*-ALGEBRAS
Glasgow mathematical journal, Tome 60 (2018) no. 2, pp. 321-331

Voir la notice de l'article provenant de la source Cambridge University Press

Let A and B be arbitrary C*-algebras, we prove that the existence of a Hilbert A–B-bimodule of finite index ensures that the WEP, QWEP, and LLP along with other finite-dimensional approximation properties such as CBAP and (S)OAP are shared by A and B. For this, we first study the stability of the WEP, QWEP, and LLP under Morita equivalence of C*-algebras. We present examples of Hilbert A–B-bimodules, which are not of finite index, while such properties are shared between A and B. To this end, we study twisted crossed products by amenable discrete groups. 
FOROUGH, MARZIEH; AMINI, MASSOUD. HILBERT C*-BIMODULES OF FINITE INDEX AND APPROXIMATION PROPERTIES OF C*-ALGEBRAS. Glasgow mathematical journal, Tome 60 (2018) no. 2, pp. 321-331. doi: 10.1017/S001708951700012X
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