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Stammeier, Nicolai: C*-algebras associated to irreversible semigroup dynamical systems. 2014
Content
Introduction
Acknowledgements
Irreversible semigroup dynamical systems
Irreversible algebraic dynamical systems
The dual picture for commutative systems
Irreversible *-commutative dynamical systems
C*-algebras for irreversible semigroup dynamical systems
Crossed products by semidirect products of semigroups
Fundamental results for irreversible algebraic dynamical systems
A closer look at dynamical systems of finite type
Fundamental results for *-commutative irreversible dynamical systems
Product systems of Hilbert bimodules over discrete semigroups
Product systems with orthonormal bases
Representations and C*-algebras for product systems
Applications for irreversible semigroup dynamical systems
Topological freeness for irreversible *-commutative dynamical systems
C*-algebraic characterizations of topological freeness
Simplicity of the C*-algebra
References