Amalgamated free product over Cartan subalgebra
نویسندگان
چکیده
منابع مشابه
Amalgamated Free Product over Cartan Subalgebra
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 approxim...
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Let A ⊇ D ⊆ B be two von Neumann algebras together with a common Cartan subalgebra. Then the amalgamated free product M = A ∗D B with respect to the unique conditional expectations from A, B onto D can be considered. In our previous paper [U1], the questions of its factoriality and type classification were discussed in detail, which will be reviewed in §4. The main purpose of the paper is to gi...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1999
ISSN: 0030-8730
DOI: 10.2140/pjm.1999.191.359