Klimek, SlawomirMcBride, Matt2022-09-302022-09-302021-12Klimek, S., & McBride, M. (2021). Unbounded Derivations in Algebras Associated with Monothetic Groups. Journal of the Australian Mathematical Society, 111(3), 345–371. https://doi.org/10.1017/S144678871900051X1446-7887, 1446-8107https://hdl.handle.net/1805/30158Given an infinite, compact, monothetic group G we study decompositions and structure of unbounded derivations in a crossed product C∗ -algebra C(G)⋊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.en-USPublisher PolicyderivationsMathematics - Operator AlgebrasMonothetic groupsoperator algebraArticle