Inner Amenability and Fullness
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Publication:3322672
DOI10.2307/2043605zbMath0537.46052OpenAlexW4243593198MaRDI QIDQ3322672
Publication date: 1982
Full work available at URL: https://doi.org/10.2307/2043605
factorsproperty Tinner amenabilityergodic actionsfull von Neumann algebraICC group with Kazhdan's property T
Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Classifications of (C^*)-algebras (46L35) Inner product spaces and their generalizations, Hilbert spaces (46C99)
Related Items (15)
Full factors and co-amenable inclusions ⋮ Structure of \(\mathrm{II}_{1}\) factors arising from free Bogoljubov actions of arbitrary groups ⋮ INNER AMENABLE GROUPOIDS AND CENTRAL SEQUENCES ⋮ Stable actions of central extensions and relative property (T) ⋮ CAT(0) cube complexes and inner amenability ⋮ A remark on fullness of some group measure space von Neumann algebras ⋮ Inner amenability, property Gamma, McDuff factors and stable equivalence relations ⋮ On a class of II\(_1\) factors with at most one Cartan subalgebra ⋮ Bi-exact groups, strongly ergodic actions and group measure space type III factors with no central sequence ⋮ Prime \(\text{II}_1\) factors arising from actions of product groups ⋮ Fullness of crossed products of factors by discrete groups ⋮ II1 FACTORS WITH EXOTIC CENTRAL SEQUENCE ALGEBRAS ⋮ A class of \(\mathrm{II}_1\) factors with a unique McDuff decomposition ⋮ Maximal injective subalgebras in factors associated with free groups ⋮ Stable decompositions and rigidity for products of countable equivalence relations
Cites Work
- Property T and asymptotically invariant sequences
- Almost periodic states and factors of type III\(_1\)
- Correspondence between subgroups and subalgebras in a cross product von Neumann algebra
- On rings of operators. IV
- Unbounded Negative Definite Functions
- Property Γ and Inner Amenability
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