On the classification of free Bogoljubov crossed product von Neumann algebras by the integersReport as inadecuate



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


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We consider crossed product von Neumann algebras arising from free Bogoljubov actions of the integers. 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



Author: Sven Raum

Source: https://archive.org/







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