Spectral Synthesis for the Operator Space Projective Tensor Product of $C*$-Algebras
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4
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We study the spectral synthesis for the Banach $C$*-algebra, the operator space projective tensor product of $C$*-algebras $A$ and $B$. It is shown that if $A$ or $B$ has finitely many closed ideals, then $A\widehat{\bigotimes}B$ obeys spectral synthesis. The Banach algebra $A\widehat{\bigotimes}A$ with the reverse involution is also studied.
Classification :
46L06, 46L07, 47L25, 43A45
@article{BMMS_2013_36_4_a0,
author = {Ranjana Jain and Ajay Kumar},
title = {Spectral {Synthesis} for the {Operator} {Space} {Projective} {Tensor} {Product} of $C*${-Algebras}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2013},
volume = {36},
number = {4},
url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a0/}
}
Ranjana Jain; Ajay Kumar. Spectral Synthesis for the Operator Space Projective Tensor Product of $C*$-Algebras. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a0/