Taiwanese Journal of Mathematics

C¤-CROSSED PRODUCTS OF C¤-ALGEBRAS WITH THE WEAK BANACH-SAKS PROPERTY BY COACTIONS

Masaharu Kusuda

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Abstract

Let A be a C¤ -algebra and let ± be a nondegenerate coaction of a locally compact group G on A. Suppose that ± is pointwise unitary and that bA is the Hausdorff spectrum of A. Then it is shown that A has the weak Banach-Saks property and G is discrete if and only if the crossed product A £ ± G by ± has the weak Banach-Saks property.

Article information

Source
Taiwanese J. Math., Volume 5, Number 3 (2001), 565-574.

Dates
First available in Project Euclid: 20 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500574950

Digital Object Identifier
doi:10.11650/twjm/1500574950

Mathematical Reviews number (MathSciNet)
MR1849778

Zentralblatt MATH identifier
0987.46045

Subjects
Primary: 46L55: Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
Secondary: 46L05: General theory of $C^*$-algebras

Keywords
c¤-crossed product coaction the weak Banach-Saks property dual C¤ - algebra fixed point algebra

Citation

Kusuda, Masaharu. C¤-CROSSED PRODUCTS OF C¤-ALGEBRAS WITH THE WEAK BANACH-SAKS PROPERTY BY COACTIONS. Taiwanese J. Math. 5 (2001), no. 3, 565--574. doi:10.11650/twjm/1500574950. https://projecteuclid.org/euclid.twjm/1500574950


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