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

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DOI

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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     author = {FOROUGH, MARZIEH and AMINI, MASSOUD},
     title = {HILBERT {C*-BIMODULES} {OF} {FINITE} {INDEX} {AND} {APPROXIMATION} {PROPERTIES} {OF} {C*-ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {321--331},
     year = {2018},
     volume = {60},
     number = {2},
     doi = {10.1017/S001708951700012X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951700012X/}
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