Taiwanese Journal of Mathematics

CENTRAL SEQUENCE ALGEBRAS OF VON NEUMANN ALGEBRAS

Junsheng Fang, Liming Ge, and Weihua Li

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Abstract

We prove that the ultrapower and the central sequence algebra of the hyperfinite II$_1$ factor are prime factors which implies that the central sequence algebra of the tensor product of two factors may not be the tensor product of the central sequence algebras of the factors respectively. This answers negatively a question of D. McDuff. Isomorphisms of ultrapowers of factors are also studied.

Article information

Source
Taiwanese J. Math., Volume 10, Number 1 (2006), 187-200.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500403810

Digital Object Identifier
doi:10.11650/twjm/1500403810

Mathematical Reviews number (MathSciNet)
MR2186173

Zentralblatt MATH identifier
1105.46042

Subjects
Primary: 46L

Keywords
von Neumann algebras central sequence algebras

Citation

Fang, Junsheng; Ge, Liming; Li, Weihua. CENTRAL SEQUENCE ALGEBRAS OF VON NEUMANN ALGEBRAS. Taiwanese J. Math. 10 (2006), no. 1, 187--200. doi:10.11650/twjm/1500403810. https://projecteuclid.org/euclid.twjm/1500403810


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