Let M be a finite von Neumann algebra acting on the standard Hilbert space L²(M). We look at the space of those bounded operators on L²(M) that are compact as operators from M into L²(M). The case where M is the free group factor is particularly interesting.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc89-0-16, author = {Narutaka Ozawa}, title = {A comment on free group factors}, journal = {Banach Center Publications}, volume = {89}, year = {2010}, pages = {241-245}, zbl = {1214.46038}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc89-0-16} }
Narutaka Ozawa. A comment on free group factors. Banach Center Publications, Tome 89 (2010) pp. 241-245. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc89-0-16/