On the classification of free Bogoljubov crossed product von Neumann algebras by the integers

DOI10.4171/GGD/301zbMath1323.46037arXiv1212.3132MaRDI QIDQ2264083

Sven Raum

Publication date: 20 March 2015

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3132

zbMATH Keywords

deformation/rigidity theory\(\mathrm{II}_1\) factorsBogoljubov crossed productfree Bogoljubov actionsfree Gaussian functor

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Free products of (C^*)-algebras (46L09)

Cites Work

• Unnamed Item
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Amenable correspondences and approximation properties for von Neumann algebras
• An amenable equivalence relation is generated by a single transformation
• W*-superrigidity for group von Neumann algebras of left-right wreath products

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