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dc.contributor.author Andruchow, Esteban
dc.contributor.author Recht, Lázaro
dc.date.available 2017-07-12T15:15:19Z
dc.date.issued 2016-02
dc.identifier.citation Andruchow, Esteban; Recht, Lázaro; Larotonda spaces: Homogeneous spaces and conditional expectations; World Scientific; International Journal Of Mathematics; 27; 2; 2-2016; 1-17; 1650002
dc.identifier.issn 0129-167X
dc.identifier.uri http://hdl.handle.net/11336/20210
dc.description.abstract We define a Larotonda space as a quotient space P = UA/UB of the unitary groups of C ∗ -algebras 1 ∈ B ⊂ A with a faithful unital conditional expectation Φ : A → B. In particular, B is complemented in A, a fact which implies that P has C∞ differentiable structure, with the topology induced by the norm of A. The conditional expectation also allows one to define a reductive structure (in particular, a linear connection) and a UAinvariant Finsler metric in P. given a point ρ ∈ P and a tangent vector X ∈ (TP)ρ, we consider the problem of wether the geodesic δ of the linear connection satisfying these inital data is (locally) minimal for the metric. We find a sufficient condition. Several examples are given, of locally minimal geodesics.
dc.format application/pdf
dc.language.iso eng
dc.publisher World Scientific
dc.rights info:eu-repo/semantics/openAccess
dc.rights.uri https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject FINSLER METRIC
dc.subject GEODESIC
dc.subject HOMOGENEOUS SPACE
dc.subject UNITARY GROUP OF A C-ALGEBRA
dc.subject.classification Matemática Pura
dc.subject.classification Matemáticas
dc.subject.classification CIENCIAS NATURALES Y EXACTAS
dc.title Larotonda spaces: Homogeneous spaces and conditional expectations
dc.type info:eu-repo/semantics/article
dc.type info:ar-repo/semantics/artículo
dc.type info:eu-repo/semantics/publishedVersion
dc.date.updated 2017-07-12T13:19:31Z
dc.journal.volume 27
dc.journal.number 2
dc.journal.pagination 1-17; 1650002
dc.journal.pais Singapur
dc.description.fil Fil: Andruchow, Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de General Sarmiento;
dc.description.fil Fil: Recht, Lázaro. Universidad de Los Andes, Colombia; . Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title International Journal Of Mathematics
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0129167X16500026
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S0129167X16500026


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    Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"

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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)