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

Yoshimichi Ueda

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)349-371
Number of pages23
JournalTransactions of the American Mathematical Society
Volume355
Issue number1
DOIs
Publication statusPublished - Jan 1 2003

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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