The spectral radius in  $\mathcal{C}_0(X)$-Banach algebras

Walther Paravicini

doi:10.4171/jncg/111

JournalsjncgVol. 7, No. 1pp. 135–147

The spectral radius in $C_{0} (X)$ -Banach algebras

Walther Paravicini
University of Münster, Germany

$The spectral radius in $\mathcal{C}_0(X)$-Banach algebras cover$

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Abstract

The spectral radius of an element of a $C_{0} (X)$ -Banach algebra can be calculated as the supremum of the spectral radii in the fibres. As a consequence, calculations in K-theory for such algebras can potentially be carried out fibrewise.

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Walther Paravicini, The spectral radius in $C_{0} (X)$ -Banach algebras. J. Noncommut. Geom. 7 (2013), no. 1, pp. 135–147

DOI 10.4171/JNCG/111