{"id":36391,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/teoria-k-no-estable-per-a-anells-de-multiplicadors\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"teoria-k-no-estable-per-a-anells-de-multiplicadors","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/teoria-k-no-estable-per-a-anells-de-multiplicadors\/","title":{"rendered":"Teoria-k no estable per a anells de multiplicadors."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Perera Domenech <\/strong><\/h2>\n<p>En esta tesis damos una descripci\u00f3n del monoide v(m(a)) de clases de equiValencia de idempotentes\/proyecciones de anillos de multiplicadores m(a), en el sentido de murray-von neumann. Esta correspondencia se aplica principalmente a anillos de multiplicadores de anillos regulares simples y a una clase amplia de c*-\u00e1lgebras simples con rango real cero y rango estable uno. Con esta descripci\u00f3n analizamos el reticulo de ideales del monoide v(m(a)), que por otro lado es un ingrediente crucial para entender la estructura de ideales del correspondiente anillo de multiplicadores. En casos importantes, demostramos que si a tiene escala finita, entonces el cociente de m(a) por cualquier ideal cerrado i que contiene propiamente a a, tiene rango estable uno. La extraordinaria complicaci\u00f3n que presenta el ret\u00edculo de ideales de m(a) se ve reflejada en el hecho que m(a) puede tener una cantidad no numerable de cocientes distintos.  la metodolog\u00eda desarrollada se aplica para el estudio de la riqueza de extremos en c*-\u00e1lgebras. En particular, demostramos que el espacio de quasitrazas y la escala contienen suficiente informaci\u00f3n para decidir si m(a)\/a tiene riqueza de extremos, lo que ocurre si la escala es finita. Si la escala no es finita, necesitamos condiciones m\u00e1s restrictivas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Teoria-k no estable per a anells de multiplicadors.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Teoria-k no estable per a anells de multiplicadors. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Perera Domenech <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Pedro Ara Bertran<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Bueso Montero Jos\u00e9 Luis <\/li>\n<li>Manuel Saorin Casta\u00f1o (vocal)<\/li>\n<li>Ralph Goodearl Kenneth (vocal)<\/li>\n<li>Enrique Pardo Espino (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Perera Domenech En esta tesis damos una descripci\u00f3n del monoide v(m(a)) de clases de equiValencia de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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