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A Dichotomy for Derivations on On
Journal article   Open access

A Dichotomy for Derivations on On

Ola Bratteli, David E Evans, Frederick M Goodman and Palle E.T Jorgensen
Publications of the Research Institute for Mathematical Sciences, Vol.22(1), pp.103-117
1986
DOI: 10.2977/prims/1195178375
url
https://doi.org/10.2977/prims/1195178375View
Published (Version of record) Open Access

Abstract

Let \mathcal{O}n be the Cuntz algebra generated by s1, …, sn, and let \mathcal{P}(\mathcal{O}n) be the *-sub-algebra of *-polynomials in the generators. We show that if δ is a gauge-invariant derivation mapping \mathcal{P}(\mathcal{O}n) into \mathcal{P}(\mathcal{O}n), and δ is approximately inner, then δ is inner.

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