Fullness, Connes' χ-groups, and ultra-products of amalgamated free products over Cartan subalgebras

Yoshimichi Ueda

doi:10.1090/S0002-9947-02-03100-8

Fullness, Connes' χ-groups, and ultra-products of amalgamated free products over Cartan subalgebras

Yoshimichi Ueda

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

Ultra-product algebras associated with amalgamated free products over Cartan subalgebras are investigated. As applications, their Connes' χ-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).

Original language	English
Pages (from-to)	349-371
Number of pages	23
Journal	Transactions of the American Mathematical Society
Volume	355
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-02-03100-8
Publication status	Published - Jan 1 2003

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9947-02-03100-8

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