Geodesic
On the classification of free Bogoljubov crossed product von Neumann algebras by the integers
Sven Raum1 orcid
1Westfälische Wilhelms-Universität Münster, Germany
Groups, geometry, and dynamics, Tome 8 (2014) no. 4, pp. 1207-1245

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DOI

We consider crossed product von Neumann algebras arising from free Bogoljubov actions of Z. We describe several presentations of them as amalgamated free products and cocycle crossed products and give a criterion for factoriality. A number of isomorphism results for free Bogoljubov crossed products are proved, focusing on those arising from almost periodic representations. We complement our isomorphism results by rigidity results yielding non-isomorphic free Bogoljubov crossed products and by a partial characterisation of strong solidity of a free Bogoljubov crossed products in terms of properties of the orthogonal representation from which it is constructed.
DOI : 10.4171/ggd/301
Classification : 46-XX, 22-XX
Mots-clés : Free Gaussian functor, deformation/rigidity theory, II1​ factors

Sven Raum  1

1 Westfälische Wilhelms-Universität Münster, Germany 
Sven Raum. On the classification of free Bogoljubov crossed product von Neumann algebras by the integers. Groups, geometry, and dynamics, Tome 8 (2014) no. 4, pp. 1207-1245. doi: 10.4171/ggd/301
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     title = {On the classification of free {Bogoljubov} crossed product von {Neumann} algebras by the integers},
     journal = {Groups, geometry, and dynamics},
     pages = {1207--1245},
     year = {2014},
     volume = {8},
     number = {4},
     doi = {10.4171/ggd/301},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/301/}
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