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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On a certain $ C\sp{\ast} $-crossed product inside a $ W\sp{\ast} $-crossed product


Authors: Dorte Olesen and Gert K. Pedersen
Journal: Proc. Amer. Math. Soc. 79 (1980), 587-590
MSC: Primary 46L05; Secondary 46L55
MathSciNet review: 572308
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Abstract: To each $ {W^ \ast }$-dynamical system $ (\mathfrak{M},G,\alpha )$ corresponds canonically a $ {C^ \ast }$-dynamical system $ ({\mathfrak{M}^c},G,\alpha \vert{\mathfrak{M}^c})$. We show that the $ {C^ \ast }$-crossed product $ G{ \times _\alpha }{\mathfrak{M}^c}$ can be identified with a certain $ {C^ \ast }$-subalgebra of the $ {W^ \ast }$-crossed product $ G{ \times _\alpha }\mathfrak{M}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0572308-8
PII: S 0002-9939(1980)0572308-8
Keywords: $ {C^ \ast }$-dynamical systems, crossed products
Article copyright: © Copyright 1980 American Mathematical Society