Crossed product algebras associated with topological dynamical systems Svensson, P.C.

• Svensson, C., Silvestrov, S., de Jeu, M., Dynamical systems and commutants in crossed

For example, we give an elementary proof of the fact that if (A, ) is a pair consisting of an arbitrary commutative associative complex algebra A and an automorphism of A,

We thus prove that, when A is a commutative completely regular semi-simple Banach algebra, it is maximal abelian in the crossed product if and only if the associated dynamical system

For example, it was proved there that, for such crossed products, the analogue of the equivalence between density of aperiodic points of a dynamical system and maximal commutativity

For example, it is proved there that, for such crossed products, the analogue of the equivalence between density of aperiodic points of a dynamical system and maximal commutativity

Certain aspects of the associated dynamical systems are investigated (Proposition 5.3.8) and later used to prove Theorem 5.4.3: π(C(X))  has the intersection property for ideals,

Furthermore, we introduce some basic definitions, and an extension theorem Theorem 6.2.5, from the theory of ordered linear spaces which we use, together with elementary theorems

Een aantal basisresultaten die betrekking hebben op C (X)  en die ten grond- slag liggen aan de genoemde verbanden tussen structuur en dynamica, zijn sterk afhankelijk van het feit