Invariant subspaces and representations of certain von Neumann algebras

Authors:
Tomoyoshi Ohwada, Guoxing Ji and Kichi-Suke Saito

Journal:
Proc. Amer. Math. Soc. **129** (2001), 3501-3510

MSC (2000):
Primary 46L10, 47L65; Secondary 46L40

DOI:
https://doi.org/10.1090/S0002-9939-01-06273-6

Published electronically:
June 27, 2001

MathSciNet review:
1715970

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Let be a covariant system and let be a covariant representation of on a Hilbert space . In this note, we investigate the representation of the covariance algebra and the -weakly closed subalgebra generated by and in the case of or when there exists a pure, full, -invariant subspace of .

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Additional Information

**Tomoyoshi Ohwada**

Affiliation:
Department of Mathematics, General Education, Tsuruoka National College of Technology, Tsuruoka, 997–8511, Japan

Email:
ohwada@tsuruoka-nct.ac.jp

**Guoxing Ji**

Affiliation:
Department of Mathematics, Shaanxi Normal University, Xian, 710062, Shaanxi, People’s Republic of China

Email:
gxji@dns.snnu.edu.cn

**Kichi-Suke Saito**

Affiliation:
Department of Mathematics, Faculty of Science, Niigata University, Niigata, 950–21, Japan

Email:
saito@math.sc.niigata-u.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-01-06273-6

Received by editor(s):
September 16, 1999

Published electronically:
June 27, 2001

Additional Notes:
This work was supported in part by a Grant-in-Aid for Scientific Research, Japan Society for Promotion of Science.

Communicated by:
David R. Larson

Article copyright:
© Copyright 2001
American Mathematical Society