Full factors, bicentralizer flow and approximately inner automorphisms
From MaRDI portal
Publication:2006711
DOI10.1007/s00222-020-00971-wzbMath1464.46066arXiv1811.10253OpenAlexW3017349803MaRDI QIDQ2006711
Publication date: 12 October 2020
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.10253
General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40) Classification of factors (46L36)
Related Items
Existentially closed \(\mathrm{W}^*\)-probability spaces ⋮ Spectral gap and strict outerness for actions of locally compact groups on full factors ⋮ Examples of compact quantum groups with \(\mathsf{L}^\infty(\mathbb{G})\) a factor ⋮ Structure of bicentralizer algebras and inclusions of type III factors ⋮ Connes' bicentralizer problem for q‐deformed Araki–Woods algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unique prime factorization and bicentralizer problem for a class of type III factors
- Operator valued weights in von Neumann algebras. I
- Operator valued weights in von Neumann algebras. II
- On a problem of R.V. Kadison on maximal Abelian *-subalgebras in factors
- Optimal parallel scheduling for the 2-steps graph with constant task cost
- The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions
- 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
- Fullness and Connes' \(\tau\) invariant of type III tensor product factors
- Unique prime factorization for infinite tensor product factors
- Structure of bicentralizer algebras and inclusions of type III factors
- Spectral gap characterization of full type III factors
- Conditional expectations in von Neumann algebras
- On rings of operators. IV
- On spectral gap rigidity and Connes invariant 𝜒(𝑀)
- The standard form of von Neumann algebras.
- Approximately inner automorphisms of semi-finite von Neumann algebras.
- On Ozawa's Property for Free Group Factors