Amalgamated Free Product over Cartan Subalgebra

  title={Amalgamated Free Product over Cartan Subalgebra},
  author={Yoshimichi Ueda},
Amalgamated free products of von Neumann algebras were first used by S. Popa ([26]) to construct an irreducible inclusion of (non-AFD) type II1 factors with an arbitrary (admissible) Jones index. Further investigation in this direction was made by K. Dykema ([10]) and F. Rădulescu ([27, 29]) based on Voiculescu’s powerful machine ([40, 41, 44]), and F. Boca ([4]) discussed the Haagerup approximation property, where only finite von Neumann algebras were dealt with. On the other hand, type III… CONTINUE READING

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