On type II_0 E_0-semigroups induced by boundary weight doubles

Details On type II_0 E_0-semigroups induced by boundary weight doubles On type II_0 E_0-semigroups induced by boundary weight doubles

2009-05-18

arxiv.org/abs/0905.2708v2

J. Funct. Anal. 258 (2010), no. 10, 3413-3451

Mathematics

Operator Algebras

38 pages; numbering format changed; various typos corrected; journal reference added

Scientific paper

10.1016/j.jfa.2009.12.005

Powers has shown that each spatial E_0-semigroup can be obtained from the boundary weight map of a CP-flow acting on B(K \otimes L^2(0, \infty)) for some separable Hilbert space K. In this paper, we define boundary weight maps through boundary weight doubles (\phi, \nu), where \phi: M_n(\C) \to M_n(\C) is a q-positive map and \nu is a boundary weight over L^2(0, \infty). These doubles induce CP-flows over K for 11, n \in \mathbb{N}.

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