{"id":3563,"date":"2024-09-30T21:12:28","date_gmt":"2024-10-01T04:12:28","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&p=3563"},"modified":"2024-09-30T21:22:29","modified_gmt":"2024-10-01T04:22:29","slug":"analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\/","title":{"rendered":"Analysis Seminar: Domains of Quantum Metrics on AF algebras (Katrine von Bornemann Hjelmborg, University of Southern Denmark (SDU))"},"content":{"rendered":"

Title: Domains of Quantum Metrics on AF algebras<\/a><\/span><\/p>\n

Abstract: Given a compact quantum metric space (A, L), we prove that the domain of L coincides with A if and only if A is finite-dimensional. Intuitively, this should allow for different quantum metrics with distinct domains when A is infinite-dimensional, and we show how to explicitly build such quantum metrics. Lastly, we also provide a strategy for the calculation of distance between certain states in these quantum metrics in the special cases of the quantized interval and the Cantor space. This is joint work with Konrad Aguilar and Fr\u00e9d\u00e9ric Latr\u00e9moli\u00e8re.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

Title: Domains of Quantum Metrics on AF algebras Abstract: Given a compact quantum metric space (A, L), we prove that the domain of L coincides with A if and only […]<\/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-3563","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-analysis-seminar","cat_analysis-seminar"],"acf":[],"yoast_head":"\nAnalysis Seminar: Domains of Quantum Metrics on AF algebras (Katrine von Bornemann Hjelmborg, University of Southern Denmark (SDU)) - 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\/event\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Analysis Seminar: Domains of Quantum Metrics on AF algebras (Katrine von Bornemann Hjelmborg, University of Southern Denmark (SDU)) - Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"og:description\" content=\"Title: Domains of Quantum Metrics on AF algebras Abstract: Given a compact quantum metric space (A, L), we prove that the domain of L coincides with A if and only […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\/\" \/>\n<meta property=\"og:site_name\" content=\"Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"article:modified_time\" content=\"2024-10-01T04:22:29+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/event\\\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\\\/\",\"url\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/event\\\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\\\/\",\"name\":\"Analysis Seminar: Domains of Quantum Metrics on AF algebras (Katrine von Bornemann Hjelmborg, University of Southern Denmark (SDU)) - Claremont Center for the Mathematical Sciences\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/#website\"},\"datePublished\":\"2024-10-01T04:12:28+00:00\",\"dateModified\":\"2024-10-01T04:22:29+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/event\\\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/event\\\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/event\\\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Events\",\"item\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/events\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Analysis Seminar: Domains of Quantum Metrics on AF algebras (Katrine von Bornemann Hjelmborg, University of Southern Denmark (SDU))\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/#website\",\"url\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/\",\"name\":\"Claremont Center for the Mathematical Sciences\",\"description\":\"Proudly Serving the Math Community at the Claremont Colleges Since 2007\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Analysis Seminar: Domains of Quantum Metrics on AF algebras (Katrine von Bornemann Hjelmborg, University of Southern Denmark (SDU)) - Claremont Center for the Mathematical Sciences","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\/","og_locale":"en_US","og_type":"article","og_title":"Analysis Seminar: Domains of Quantum Metrics on AF algebras (Katrine von Bornemann Hjelmborg, University of Southern Denmark (SDU)) - Claremont Center for the Mathematical Sciences","og_description":"Title: Domains of Quantum Metrics on AF algebras Abstract: Given a compact quantum metric space (A, L), we prove that the domain of L coincides with A if and only […]","og_url":"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\/","og_site_name":"Claremont Center for the Mathematical Sciences","article_modified_time":"2024-10-01T04:22:29+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\/","url":"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\/","name":"Analysis Seminar: Domains of Quantum Metrics on AF algebras (Katrine von Bornemann Hjelmborg, University of Southern Denmark (SDU)) - Claremont Center for the Mathematical Sciences","isPartOf":{"@id":"https:\/\/colleges.claremont.edu\/ccms\/#website"},"datePublished":"2024-10-01T04:12:28+00:00","dateModified":"2024-10-01T04:22:29+00:00","breadcrumb":{"@id":"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/colleges.claremont.edu\/ccms\/"},{"@type":"ListItem","position":2,"name":"Events","item":"https:\/\/colleges.claremont.edu\/ccms\/events\/"},{"@type":"ListItem","position":3,"name":"Analysis Seminar: Domains of Quantum Metrics on AF algebras (Katrine von Bornemann Hjelmborg, University of Southern Denmark (SDU))"}]},{"@type":"WebSite","@id":"https:\/\/colleges.claremont.edu\/ccms\/#website","url":"https:\/\/colleges.claremont.edu\/ccms\/","name":"Claremont Center for the Mathematical Sciences","description":"Proudly Serving the Math Community at the Claremont Colleges Since 2007","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/colleges.claremont.edu\/ccms\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/tribe_events\/3563","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/users\/195"}],"version-history":[{"count":0,"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/tribe_events\/3563\/revisions"}],"wp:attachment":[{"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/media?parent=3563"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/tags?post=3563"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/wp\/v2\/tribe_events_cat?post=3563"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}