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math.GR2022
Quasi-Hermitian pair and co-amenability
Bat-Od Battseren
We adapt the notion of quasi-Hermition group to the pairs of discrete group and its subgroup . We show that a quasi-Hermitian pair is amenable in the sense of Eymard…
math.OA2022
Von Neumann equivalence and type approximation properties
Bat-Od Battseren
We show that -approximation-property, -weak-amenability, and -weak-Haagerup-property are stable under von Neumann equivalence (hence also Measure equivalence and W*-…
math.OA2022
Von Neumann equivalence and group exactness
Bat-Od Battseren
We will show that group exactness is a von Neumann equivalence invariant. This result generalizes the previously known fact stating that group exactness is invariant under measure…