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

Author:
Yoshimichi Ueda

Journal:
Trans. Amer. Math. Soc. **355** (2003), 349-371

MSC (2000):
Primary 46L54; Secondary 37A20

Published electronically:
September 5, 2002

MathSciNet review:
1928091

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

**Yoshimichi Ueda**

Affiliation:
Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan

Address at time of publication:
Graduate School of Mathematics, Kyushu University, Fukuoka 810-8560, Japan

Email:
ueda@math.sci.hiroshima-u.ac.jp, ueda@math.kyushu-u.ac.jp

DOI:
http://dx.doi.org/10.1090/S0002-9947-02-03100-8

Received by editor(s):
October 30, 2000

Received by editor(s) in revised form:
February 7, 2002

Published electronically:
September 5, 2002

Article copyright:
© Copyright 2002
American Mathematical Society