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arXiv · 1905.07306

Unbounded Derivations in Algebras Associated with Monothetic Groups

Slawomir Klimek·Matt McBride
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Abstract

Given an infinite, compact, monothetic group $G$ we study decompositions and structure of unbounded derivations in a crossed product C$^*$-algebra $C(G)\rtimes\Z$ obtained from a translation on $G$ by a generator of a dense cyclic subgroup. We also study derivations in a Toeplitz extension of the crossed product and the question whether unbounded derivations can be lifted from one algebra to the other.

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Slawomir Klimek, Matt McBride. 2019-05-17. Unbounded Derivations in Algebras Associated with Monothetic Groups. https://doi.org/10.1017/s144678871900051x

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