2 problems

0 votes0 replies0 views
Kirchberg's B3 conjecture on the weak expectation property
Let $\mathbb{F}_\infty$ be the free group with countably infinitely many generators, and let $C^*(\mathbb{F}_\infty)$ be its full group $C^*$ -algebra. A $C^*$ -algebra has the weak…
Conjectureopenlifting-property operator-algebras weak-expectation-propertyarXiv posted 2 days ago
0 votes0 replies0 views
The matrix-level controllability conjecture for $M_k(\ell_1^3)$
Let $\ell_1^3$ be the three-dimensional operator space and let $M_k(\ell_1^3)$ denote its $k\times k$ matrix amplification. Say that an operator space is controllable when it has t…
Conjectureopenlifting-property operator-spaces weak-expectation-propertyarXiv posted 2 days ago

Kirchberg's B3 conjecture on the weak expectation property