Unbounded Derivations in Algebras Associated with Monothetic Groups
Abstract
Given an infinite, compact, monothetic group G we study decompositions and structure of unbounded derivations in a crossed product C*-algebra C(G) 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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