Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Compact actions commuting with ergodic actions and applications to crossed products

Author: C. Peligrad
Journal: Trans. Amer. Math. Soc. 331 (1992), 825-836
MSC: Primary 46L55; Secondary 22D25
MathSciNet review: 1044964
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ (A,K,\beta)$ be a $ {C^{\ast}}$-dynamical system with $ K$ compact. In this paper we prove a duality result for saturated actions (Theorem 3.3). The proof of this result can also be considered as an alternate proof of the corresponding result for von Neumann algebras due to Araki, Haag, Kastler and Takesaki $ [14]$. We also obtain results concerning the simplicity and the primeness of the crossed product $ A \times _\beta K$ in terms of the ergodicity of the commutant of $ \beta $ (Propositions 5.3 and 5.4).

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 46L55, 22D25

Retrieve articles in all journals with MSC: 46L55, 22D25

Additional Information

Article copyright: © Copyright 1992 American Mathematical Society

American Mathematical Society