{"id":1507,"date":"2019-06-04T11:56:13","date_gmt":"2019-06-04T08:56:13","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1507"},"modified":"2019-06-10T13:19:07","modified_gmt":"2019-06-10T10:19:07","slug":"this-thursday-at-1200-u-haifa-topology-geometry-seminar-on-jun-6-2019","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1507","title":{"rendered":"This Thursday at 12:00, U. Haifa Topology &#038; Geometry seminar on Jun 6, 2019"},"content":{"rendered":"<p style=\"font-weight: 400;\"><strong><u>Geometry\u00a0&amp; Topology Seminar<\/u><\/strong><\/p>\n<p style=\"font-weight: 400;\">Speaker: Chaim Schochet\u00a0\u00a0(Technion)<\/p>\n<p style=\"font-weight: 400;\">Topic:\u00a0What is K-theory for C*-algebras and why should topologists care about it<\/p>\n<p style=\"font-weight: 400;\">Place:\u00a0 \u00a0 Room 614 in the Science &amp; Education Building<\/p>\n<p style=\"font-weight: 400;\">Time\u00a0 \u00a012:00<\/p>\n<p style=\"font-weight: 400;\">Date:\u00a0 Thursday, Jun 6, 2019<\/p>\n<p style=\"font-weight: 400;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<strong><u>Abstract<\/u><\/strong><strong><u>:<\/u><\/strong><\/p>\n<p>Topological K-theory for C^*-algebras is a generalization of classical K-theory for compact spaces.\u00a0 It has proven to be an invaluable tool in several areas of functional analysis and mathematical physics.\u00a0 It turns out that it is also very useful for some problems in classical topology.\u00a0 In this expository talk we will outline the basic properties of K-theory and show how it has been applied to develop tools and solve problems that are out of reach by classical algebraic topological methods.<\/p>\n<p>Here&#8217;s a sample.\u00a0 If a finite (or compact) group G acts on a compact space X then topologists routinely study the space of orbits X\/G and use tools such as equivariant K-theory. But what if the group G is not compact? What if it is the integers, so the action is given by a homeomorphism X to X, and suppose that the orbit of every point is dense in X.\u00a0 Then every point is dense in X\/G.\u00a0 What classical tools can be used on such a space?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Geometry\u00a0&amp; Topology Seminar Speaker: Chaim Schochet\u00a0\u00a0(Technion) Topic:\u00a0What is K-theory for C*-algebras and why should topologists care about it Place:\u00a0 \u00a0 Room 614 in the Science &amp; Education Building Time\u00a0 \u00a012:00 Date:\u00a0 Thursday, Jun 6, 2019 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Abstract: Topological K-theory for C^*-algebras&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=1507\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,4],"tags":[],"class_list":["post-1507","post","type-post","status-publish","format-standard","hentry","category-gt-seminar","category-seminar"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1507","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1507"}],"version-history":[{"count":2,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1507\/revisions"}],"predecessor-version":[{"id":1513,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1507\/revisions\/1513"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1507"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1507"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1507"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}