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

Yoshimichi Ueda

Research output: Contribution to journalArticle

17 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

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Amalgamated Free Product
Cartan Subalgebra
Ergodic Theory
Automorphism Group
Algebra
Closed

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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

In: Transactions of the American Mathematical Society, Vol. 355, No. 1, 01.01.2003, p. 349-371.

Research output: Contribution to journalArticle

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