{"id":3074,"date":"2023-02-08T11:40:19","date_gmt":"2023-02-08T19:40:19","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=3074"},"modified":"2023-02-08T11:40:19","modified_gmt":"2023-02-08T19:40:19","slug":"structural-aspects-of-von-neumann-algebras-arising-as-graph-products-rolando-de-santiago-purdue-university","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/structural-aspects-of-von-neumann-algebras-arising-as-graph-products-rolando-de-santiago-purdue-university\/","title":{"rendered":"structural aspects of von Neumann algebras arising as graph products (Rolando de Santiago, Purdue University)"},"content":{"rendered":"<p>Graph products of groups were introduced in E. Green\u2019s thesis in the 90\u2019s as generalizations of Right-Angled Artin Groups. These have become objects of intense study due to their key roles in topology and group theory.\u00a0 Recently, Caspers and Fima introduced graph products of von Neumann algebras. Since their inception, several structural aspects such as absence of Cartan subalgebras, and classification of tensor products have been established for graph products arising from groups.\u00a0 Here we describe new progress in this direction, emphasizing characterization of diffuseness, factoriality, and if time, strong 1-boundedness for graph products of a large class of von Neumann algebras.<\/p>\n<p>This is joint work with Ian Charlesworth, Srivatsav Kunnawalkam-Ellayavali, \u00a0Ben Hayes, David Jekel, and Brent Nelson.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Graph products of groups were introduced in E. Green\u2019s thesis in the 90\u2019s as generalizations of Right-Angled Artin Groups. These have become objects of intense study due to their key [&hellip;]<\/p>\n","protected":false},"author":195,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":""},"tags":[],"tribe_events_cat":[14],"class_list":["post-3074","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-analysis-seminar","cat_analysis-seminar"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>structural aspects of von Neumann algebras arising as graph products (Rolando de Santiago, Purdue University) - Claremont Center for the Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&p=3074\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"structural aspects of von Neumann algebras arising as graph products (Rolando de Santiago, Purdue University) - Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"og:description\" content=\"Graph products of groups were introduced in E. Green\u2019s thesis in the 90\u2019s as generalizations of Right-Angled Artin Groups. 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