A Hyperfinite Factor Which is not an Injective C*-Algebra

Author:

Wright J D Maitland1,Saitô Kazuyuki2

Affiliation:

1. Mathematics Institute, University of Aberdeen, Aberdeen, AB24 3FX, Scotland and Christ Church, St Aldates, Oxford OX1 1DP

2. 2-7-5 Yoshinari, Aoba-ku, Sendai 989-3205, Japan

Abstract

Abstract We exhibit a wild monotone complete C*-algebra which is a hyperfinite factor but is not an injective C*-algebra.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference18 articles.

1. On Sullivan’s invariant measure problem;Bunce;Proc. Amer. Math. Soc.,1988

2. Classification of injective factors;Connes;Ann. of Math. (2),1976

3. Banach–Tarski decomposition using sets with the property of Baire;Dougherty;J. Amer. Math. Soc.,1994

4. Concerning $A{W}^{\ast }$-algebras;Dyer;Notices Amer. Math. Soc.,1970

5. Tensor products for monotone complete $C^{\ast }$-algebras II;Hamana;Jpn. J. Math.,1982

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