Please use this identifier to cite or link to this item:
http://hdl.handle.net/10662/8347
Title: | Representing matrices, M-ideals and tensor products of L₁-predual spaces |
Authors: | Dutta, S. Khurana, D. Sensarma, A. |
Keywords: | Matriz representativa;Diagrama generalizado;Subdiagrama dirigido;M-ideales;Producto tensorial;Representing matrix;Generalized diagram;Directed sub diagram;M-ideals;Tensor products |
Issue Date: | 2018 |
Publisher: | Universidad de Extremadura |
Abstract: | Motivated by Bratteli diagrams of Approximately Finite Dimensional (AF) C*- algebras, we consider diagrammatic representations of separable L₁-predual spaces and show that, in analogy to a result in AF C*-algebra theory, in such spaces, every M-ideal corresponds to directed sub diagram. This allows one, given a representing matrix of a L₁-predual space, to recover a representing matrix of an M-ideal in X. We give examples where the converse is true in the sense that given an M-ideal in a L₁-predual space X, there exists a diagrammatic representation of X such that the M-ideal is given by a directed sub diagram and an algorithmic way to recover a representing matrix of M-ideals in these spaces. Given representing matrices of two L₁-predual spaces we construct a representing matrix of their injective tensor product. |
URI: | http://hdl.handle.net/10662/8347 |
DOI: | 10.17398/2605-5686.33.1.33 |
Appears in Collections: | Extracta Mathematicae Vol. 33, nº 1 (2018) |
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2605-5686_33_1_33.pdf | 345,23 kB | Adobe PDF | View/Open |
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