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Fullness, Connes' -groups, and ultra-products of amalgamated free products over Cartan subalgebras
Authors:Yoshimichi Ueda
Affiliation:Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan
Abstract:Ultra-product algebras associated with amalgamated free products over Cartan subalgebras are investigated. As applications, their Connes' $chi $-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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