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- W2320084889 abstract "For a fixed C^*-algebra A, we consider all non-commutative dynamical systems that can be generated by A. More precisely, an A-dynamical system is a triple (i,B,alpha) where alpha is a *-endomorphism of a C^*-algebra B, and i: Asubseteq B is the inclusion of A as a C^*-subalgebra with the property that B is generated by Acupalpha(A)cupalpha^2(A)cupdotsb. There is a natural hierarchy in the class of A-dynamical systems, and there is a universal one that dominates all others, denoted (i,mathcal{P}A,alpha). We establish certain properties of (i,mathcal{P}A,alpha) and give applications to some concrete issues of non-commutative dynamics.For example, we show that every contractive completely positive linear map varphi:Ato A gives rise to a unique A-dynamical system (i,B,alpha) that is ‘minimal’ with respect to varphi, and we show that its C^*-algebra B can be embedded in the multiplier algebra of Aotimesmathcal{K}." @default.
- W2320084889 created "2016-06-24" @default.
- W2320084889 creator A5009978862 @default.
- W2320084889 date "2002-08-01" @default.
- W2320084889 modified "2023-10-18" @default.
- W2320084889 title "Generators of non-commutative dynamics" @default.
- W2320084889 doi "https://doi.org/10.1017/s0143385702000809" @default.
- W2320084889 hasPublicationYear "2002" @default.
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