2011/04/18 by Kunal Mukherjee, Mukherjee, Kunal
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Operator Algebras (math.OA) #math.OA
paper · pdf · doi:10.48550/arxiv.1104.3507
24 pages, to appear in Houston. J. Math
arxiv created 2011/04/18 · openalex publication_date 2011/04/18 · arxiv updated 2011/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study relations between the left-right-measure and properties of singular masas. Part of the analysis is mainly concerned with masas for which the left-right-measure is the class of product measure. We provide examples of Tauer masas in the hyperfinite \rmII1 factor whose left-right-measure is the class of Lebesgue measure. We show that for each subset S⊆ ℕ, there exist uncountably many pairwise non conjugate singular masas in the free group factors with Pukánszky invariant S∪\∞\.