Spectral gap and strict outerness for actions of locally compact groups on full factors
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Publication:6113472
DOI10.4171/lem/1054zbMath1530.46051arXiv2201.01055OpenAlexW4293302580MaRDI QIDQ6113472
Publication date: 9 August 2023
Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.01055
spectral gapfree Araki-Woods factorfull factorouter actionfree group factorcrossed product von Neumann algebra
Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40) Classification of factors (46L36)
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Spectral gap and strict outerness for actions of locally compact groups on full factors ⋮ Ergodic states on type \(\mathrm{III}_1\) factors and ergodic actions
Cites Work
- Unnamed Item
- Central sequences in crossed products of full factors
- Almost periodic states and factors of type III\(_1\)
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- The flow of weights on factors of type III
- \(A\)-valued semicircular systems
- Free quasi-free states
- Fullness and Connes' \(\tau\) invariant of type III tensor product factors
- Full factors, bicentralizer flow and approximately inner automorphisms
- Structure of extensions of free Araki-Woods factors
- Full factors and co-amenable inclusions
- Spectral gap characterization of full type III factors
- Structure of \(\mathrm{II}_{1}\) factors arising from free Bogoljubov actions of arbitrary groups
- On the classification of inductive limits of II$_{1}$ factors with spectral gap
- Ergodic theory of amenable group actions. I: The Rohlin lemma
- Strictly Outer Actions of Groups and Quantum Groups
- Fullness of crossed products of factors by discrete groups
- Rohlin flows on von Neumann algebras
- On Ozawa's Property for Free Group Factors
- Theory of operator algebras I.
- Spectral gap and strict outerness for actions of locally compact groups on full factors
