2017/03/03 by Anatol Odzijewicz, Grzegorz Jakimowicz, Aneta Sliżewska
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Discrete mathematics #Exact sequence #Mathematics #Poisson distribution #Pure mathematics #Sequence (biology) #math-ph #math.DG #math.MP #msc:22A22 #msc:58H05 #msc:70G45
paper · pdf · doi:10.1016/j.geomphys.2017.09.012
52 pages
arxiv created 2017/03/03 · openalex created_date 2017/03/16 · openalex publication_date 2017/10/12 · arxiv updated 2018/03/14 · openalex updated_date 2026/08/05
In this paper we investigate fiber-wise linear complex Banach sub-Poisson structures defined canonically by the structure of a W*-algebra M. In particular we show that these structures are arranged in the short exact sequence of complex Banach sub-Poisson VB-groupoids with the groupoid of partially invertible elements of M as the side groupoid.