Fullness, Connes' -groups, and ultra-products of amalgamated free products over Cartan subalgebras |
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Authors: | Yoshimichi Ueda |
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Affiliation: | Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan |
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Abstract: | Ultra-product algebras associated with amalgamated free products over Cartan subalgebras are investigated. As applications, their Connes' -groups are computed in terms of ergodic theory, and also we clarify what condition makes them full factors (i.e., their inner automorphism groups become closed). |
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