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Products | Subgroups | Quotients | Dual top. gen. | ||||
---|---|---|---|---|---|---|---|
Direct | Free | Wreath | Free wr. | ||||
Kirchberg (F) | |||||||
Resid. finite | |||||||
Kazhdan (T) | |||||||
Haagerup | |||||||
Amenable |
free CMQG duals (assuming high enough) | |||||
---|---|---|---|---|---|
Kirchberg (F) | yes 1) | yes 1) | yes2) | yes2) | yes |
Resid. finite | yes 1) | yes 1) | yes2) | yes2) | yes |
Kazhdan (T) | no | no | no | no | no |
Haagerup | yes | yes | yes | yes | yes |
Amenable |