Let $S$ be an $AW^\ast$-factor of type $II_f$. The maximal right quotient ring of this algebra is the required ring.
Keywords ring of quotients
| Name | Measure | |
|---|---|---|
| weak global dimension | 0 | 
| Name | Description | 
|---|---|
| Jacobson radical | $\{0\}$ | 
| Left singular ideal | $\{0\}$ | 
| Left socle | $\{0\}$ | 
| Right singular ideal | $\{0\}$ | 
| Right socle | $\{0\}$ |