{"id":772,"date":"2015-02-04T12:44:35","date_gmt":"2015-02-04T17:44:35","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/boyland\/?page_id=772"},"modified":"2026-03-19T08:10:28","modified_gmt":"2026-03-19T12:10:28","slug":"serban-stratila","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/boyland\/serban-stratila\/","title":{"rendered":"Serban Stratila"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h2 class=\"wp-block-heading\">Commutation and Splitting Theorems in von Neumann Algebras<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">Abstract<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Motivated by a recent result of Ge &amp; Kadison (Invent.Math. 1996) for<br>\nfactors and using some of our old results concerning Dixmier sets, we extend<br>\nappropriately the Splitting result of Ge &amp; Kadison to general von Neumann<br>\nalgebras. For this we need also a Commutation Theorem for &#8220;tensor products<br>\nover a commutative subalgebra&#8221;. Eventually, both our Splitting Theorem<br>\nand Commutation Theorem are direct particular cases of a General Commutation<br>\nTheorem for tensor products over subalgebras which may look as<br>\n( R^1 tensor R^2 over R)&#8217; = (R^1)&#8217; tensor (R^2)&#8217; over R&#8217;.<\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":146,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-772","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/772","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/users\/146"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/comments?post=772"}],"version-history":[{"count":2,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/772\/revisions"}],"predecessor-version":[{"id":4032,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/772\/revisions\/4032"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/media?parent=772"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}