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

### Walther Paravicini

University of Münster, Germany

## Abstract

The spectral radius of an element of a $\mathcal{C}_0(X)$-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 $\mathcal{C}_0(X)$-Banach algebras. J. Noncommut. Geom. 7 (2013), no. 1, pp. 135–147

DOI 10.4171/JNCG/111