Titlebook: Noncommutative Dynamics and E-Semigroups; William Arveson Book 2003 Springer Science+Business Media New York 2003 C*-algebra.Hilbert space

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Bounded Generatorsown that the index of . agrees with the index of its minimal dilation. However, no examples were discussed and no computations were made. In particular, the results of Chapter 9 give no information about which .-semigroups can occur as the minimal dilations of unital completely positive semigroups acting on matrix algebras.

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Pure Perturbations of CAR/CCR Flowst exhibit a pair of pure .-semigroups with corresponding properties. In this chapter we address the problem of existence by constructing examples of .-semigroups acting on matrix algebras that have absorbing states with specified eigenvalue lists. The desired .-semigroups are then obtained by way of dilation theory.

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William ArvesonIncludes supplementary material:

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https://doi.org/10.1007/978-0-387-21524-2C*-algebra; Hilbert space; Mathematica; algebra; automorphism; commutative algebra; field; index theory; per

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978-1-4419-1803-1Springer Science+Business Media New York 2003