JournalsjncgVol. 7, No. 1pp. 135–147

The spectral radius in C0(X)\mathcal{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 C0(X)\mathcal{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.

Cite this article

Walther Paravicini, The spectral radius in C0(X)\mathcal{C}_0(X)-Banach algebras. J. Noncommut. Geom. 7 (2013), no. 1, pp. 135–147

DOI 10.4171/JNCG/111