E₀^P-semigroups and product systems

2017/06/13 by S. P. Murugan, Murugan, S. P., S. Sundar +1 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Banach Space Theory #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1706.03928

Abstract

Let P be a closed convex cone in ℝⁿ. Assume that P is spanning i.e. P-P=ℝⁿ and pointed i.e. P ∩ -P=\0\. Let α:=\α_x:x ∈ P\ be a σ-weakly continuous family of unital normal endomorphisms on B(H). Denote the "product system" associated to α by E_α. We show that E_α is a concrete product system and α, up to cocycle conjugacy, can be recovered completely from E_α

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