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approximation_properties_summary [2019/10/09 09:17]
d.gromada [Stability results]
approximation_properties_summary [2021/11/23 11:56] (current)
Line 4: Line 4:
  
 ===== Mutual relationships ===== ===== Mutual relationships =====
 +
 +Residually finite ⇒ property (F)
 +
 +Amenable ⇒ Haagerup
 +
 +Property (T) and (F) ⇒ Residually finite
 +
 +Property (T) and Haagerup ⇔ finite
  
 ===== Stability results ===== ===== Stability results =====
Line 13: Line 21:
 ^[[kazhdan_property|Kazhdan (T)]]     ​| ​       |      |        |          |           | yes       ​| ​               | ^[[kazhdan_property|Kazhdan (T)]]     ​| ​       |      |        |          |           | yes       ​| ​               |
 ^[[haagerup_property|Haagerup]] ​      ​| ​       | yes  |        |          | yes       ​| ​          ​| ​               | ^[[haagerup_property|Haagerup]] ​      ​| ​       | yes  |        |          | yes       ​| ​          ​| ​               |
-^[[amenability|Amenable]] ​            ​| ​       | no   ​| ​       |          | yes       ​| ​          ​| ​               |+^[[amenability|Amenable]] ​            ​| ​yes    ​| no   ​| ​       |          | yes       ​| ​          ​| ​               |
  
  
approximation_properties_summary.1570612672.txt.gz · Last modified: 2021/11/23 11:56 (external edit)