{"id":3090,"date":"2023-03-02T08:56:31","date_gmt":"2023-03-02T16:56:31","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=3090"},"modified":"2023-03-02T08:56:31","modified_gmt":"2023-03-02T16:56:31","slug":"the-fell-topology-and-the-modular-gromov-hausdorff-propinquity-jiahui-yu-pomona-college","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/the-fell-topology-and-the-modular-gromov-hausdorff-propinquity-jiahui-yu-pomona-college\/","title":{"rendered":"The Fell topology and the modular Gromov-Hausdorff propinquity (Jiahui Yu, Pomona College)"},"content":{"rendered":"<p>Given a unital AF (approximately finite-dimensional) algebra A equipped with a faithful tracial state, we equip each (norm-closed two-sided) ideal of A with a metrized quantum vector bundle structure, when canonically viewed as a module over A, in the sense of Latr\u00e9moli\u00e8re using previous work of Aguilar and Latr\u00e9moli\u00e8re. Moreover, we show that convergence of ideals in the Fell topology implies convergence of the associated metrized quantum vector bundles in the modular Gromov-Hausdorff propinquity of Latr\u00e9moli\u00e8re. In a similar vein but requiring a different approach, given a compact metric space (X,d), we equip each ideal of C(X) with a metrized quantum vector bundle structure, and show that convergence in the Fell topology implies convergence in the modular Gromov-Hausdorff propinquity. (This is joint work with Konrad Aguilar).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given a unital AF (approximately finite-dimensional) algebra A equipped with a faithful tracial state, we equip each (norm-closed two-sided) ideal of A with a metrized quantum vector bundle structure, when [&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-3090","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 - 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