Spectral synthesis for Banach Algebras II

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This paper continues the study of spectral synthesis and the topologies $τ_{\infty}$ and $τ_r$ on the ideal space of a Banach algebra, concentrating particularly on the class of Haagerup tensor products of C$^*$-algebras. For this class, it is shown that spectral synthesis is equivalent to the Hausdorffness of $τ_{\infty}$. Under a weak extra condition, spectral synthesis is shown to be equivalent to the Hausdorffness of $τ_r$.
27 pages plain tex; some explanations added

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Operator Algebras, Functional Analysis, 46H10;46K50

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http://salesiana.dossiersoluciones.com/handle/123456789/79149

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9909149
 http://arxiv.org/abs/math/9909149

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arXiv