Amalgamated free product over Cartan subalgebra

Yoshimichi Ueda

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

We study amalgamated free products of factors over their common Cartan subalgebras. We will show that the resulting amalgamated free product is a factor as long as given factors are non-type I and furthermore its (smooth) flow of weights is determined.

Original languageEnglish
Pages (from-to)359-392
Number of pages34
JournalPacific Journal of Mathematics
Volume191
Issue number2
DOIs
Publication statusPublished - Dec 1999

Fingerprint

Amalgamated Free Product
Cartan Subalgebra

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Amalgamated free product over Cartan subalgebra. / Ueda, Yoshimichi.

In: Pacific Journal of Mathematics, Vol. 191, No. 2, 12.1999, p. 359-392.

Research output: Contribution to journalArticle

Ueda, Yoshimichi. / Amalgamated free product over Cartan subalgebra. In: Pacific Journal of Mathematics. 1999 ; Vol. 191, No. 2. pp. 359-392.
@article{ce0ec9df50f2462a9561b7bdba40cdfb,
title = "Amalgamated free product over Cartan subalgebra",
abstract = "We study amalgamated free products of factors over their common Cartan subalgebras. We will show that the resulting amalgamated free product is a factor as long as given factors are non-type I and furthermore its (smooth) flow of weights is determined.",
author = "Yoshimichi Ueda",
year = "1999",
month = "12",
doi = "10.2140/pjm.1999.191.359",
language = "English",
volume = "191",
pages = "359--392",
journal = "Pacific Journal of Mathematics",
issn = "0030-8730",
publisher = "University of California, Berkeley",
number = "2",

}

TY - JOUR

T1 - Amalgamated free product over Cartan subalgebra

AU - Ueda, Yoshimichi

PY - 1999/12

Y1 - 1999/12

N2 - We study amalgamated free products of factors over their common Cartan subalgebras. We will show that the resulting amalgamated free product is a factor as long as given factors are non-type I and furthermore its (smooth) flow of weights is determined.

AB - We study amalgamated free products of factors over their common Cartan subalgebras. We will show that the resulting amalgamated free product is a factor as long as given factors are non-type I and furthermore its (smooth) flow of weights is determined.

UR - http://www.scopus.com/inward/record.url?scp=0012629023&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0012629023&partnerID=8YFLogxK

U2 - 10.2140/pjm.1999.191.359

DO - 10.2140/pjm.1999.191.359

M3 - Article

AN - SCOPUS:0012629023

VL - 191

SP - 359

EP - 392

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -