{"id":144,"date":"2011-10-04T16:53:55","date_gmt":"2011-10-04T20:53:55","guid":{"rendered":"http:\/\/blogs.vassar.edu\/jacameron\/"},"modified":"2021-01-07T12:09:18","modified_gmt":"2021-01-07T17:09:18","slug":"research","status":"publish","type":"page","link":"https:\/\/pages.vassar.edu\/jacameron\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<p><a id=\"set-post-thumbnail\" class=\"thickbox\" href=\"https:\/\/pages.vassar.edu\/jacameron\/wp-admin\/media-upload.php?post_id=144&amp;type=image&amp;TB_iframe=1\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-266x266 alignright\" src=\"https:\/\/pages.vassar.edu\/jacameron\/files\/2011\/10\/rind.jpg\" alt=\"\" width=\"237\" height=\"349\" \/><\/a><\/p>\n<p>I work in operator algebras, a subfield of analysis which originated in the study of\u00a0 symmetries of quantum mechanical systems. \u00a0 I am primarily interested in the von Neumann algebras and C*-algebras that arise from representations of groups and dynamical systems.<\/p>\n<h3><strong>Articles<br \/>\n<\/strong><\/h3>\n<ul>\n<li>Noncommutative joinings III (with Jon Bannon, Kunal Mukherjee), <em>Operators and Matrices<\/em>, to appear.<\/li>\n<li>Noncommutative joinings II (with Jon Bannon, Kunal Mukherjee), <em>Groups, Geometry, and Dynamics, <\/em>to appear.<\/li>\n<li>Corrigendum to: A Galois correspondence for reduced crossed products of simple C*-algebras by discrete groups (with Roger Smith), <em>Canadian Journal of Mathematics, <\/em> published online May 2019.<\/li>\n<li>A Galois correspondence for reduced crossed products of simple C*-algebras by discrete groups (with Roger Smith), <em>Canadian Journal of Mathematics <\/em> Volume 71, Issue 5 (2019), pp. 1103-1125<\/li>\n<li>On Noncommutative joinings (with Jon Bannon, Kunal Mukherjee), <em>International Mathematics Research Notices<\/em> Volume 2018, Issue 15 (2018), Pages 4734\u20134779,.<\/li>\n<li>Mixing and weakly mixing abelian subalgebras of type II_1 factors (with Junsheng Fang, Kunal Mukherjee), <em>Journal of Functional Analysis<\/em>, (2017) Volume 272, Issue 7, Pages 2697-2725.<\/li>\n<li>Structural properties of close II_1 factors (with Erik Christensen, Allan Sinclair, Roger Smith, Stuart White, Alan Wiggins), <em>Munster Journal of Mathematics<\/em> 10 (2017), 19\u201337.<\/li>\n<li>Intermediate subalgebras and bimodules for crossed products of general von Neumann algebras (with Roger Smith), <em>International Journal of Mathematics<\/em>, (2016) Volume 27, Issue 11.<\/li>\n<li>The modular symmetry of Markov maps (with Jon Bannon, Kunal Mukherjee), <em>Journal of Mathematical Analysis and Applications<\/em> (2016), 439(2), pp. 701-708.<\/li>\n<li>Bimodules in crossed products of von Neumann algebras (with Roger Smith), <em>Advances in Mathematics<\/em> (2015), 274(19), pp. 539-561.<\/li>\n<li>Kadison-Kastler stable factors (with Erik Christensen, Allan Sinclair, Roger Smith, Stuart White, Alan Wiggins), <em>Duke Mathematical Journal <\/em>(2014)<em>,\u00a0<\/em> 163(14), pp. 2639-2686<\/li>\n<li>A remark on the similarity and perturbation problems (with Erik Christensen, Allan Sinclair, Roger Smith, Stuart White, Alan Wiggins),\u00a0 <em>Comptes Rendus Mathematiques de l&#8217;Academie des Sciences. La Societe Royale du Canada.<\/em> (2013) 35 (2). pp. 70-76<\/li>\n<li>Bimodules over Cartan masas in von Neumann algebras, norming algebras, and Mercer&#8217;s theorem (with David Pitts, Vrej Zarikian), <em>New York Journal of Mathematics <\/em>(2<em>0<\/em>13<em>)<\/em>, 19, pp. 455-486.<\/li>\n<li><a href=\"http:\/\/arxiv.org\/abs\/1001.0169\" target=\"_blank\" rel=\"noopener\">Mixing subalgebras of finite von Neumann algebras<\/a> (with Junsheng Fang, Kunal Mukherjee),\u00a0<em>New York Journal of Mathematics<\/em> (2013)<em>,<\/em> 19, pp. 343-366.<\/li>\n<li>Type II_1 factors satisfying the spatial isomorphism conjecture (with Erik Christensen, Allan Sinclair, Roger Smith, Stuart White, Alan Wiggins), <em>Proceedings of the National Academy of Sciences, U.S.A.<\/em> (2012), 109(52), pp. 20338-20343.<\/li>\n<li><a href=\"http:\/\/www.worldscinet.com\/ijm\/22\/2207\/S0129167X11007173.html\" target=\"_blank\" rel=\"noopener\">Structure results for normalizers of II_1 factors<\/a>,\u00a0 <em> International Journal of Mathematics<\/em> (2011)<em>, <\/em>22(7), pp. 947-979<\/li>\n<li><a href=\"http:\/\/jlms.oxfordjournals.org\/content\/82\/3\/787.short\" target=\"_blank\" rel=\"noopener\">The radial masa in a free group factor is maximal injective <\/a> (with Junsheng Fang, Mohan Ravichandran, Stuart White),\u00a0 <em>Journal of the London Mathematical Society <\/em>(2010), 82(3), pp. 787-809.<\/li>\n<li>Hochschild Cohomology of II_1 factors with Cartan masas, <em>Proceedings of the Edinburgh Mathematical Society <\/em>(2009), 52(02), pp. 287-295.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I work in operator algebras, a subfield of analysis which originated in the study of\u00a0 symmetries of quantum mechanical systems. \u00a0 I am primarily interested in the von Neumann algebras and C*-algebras that arise from representations of groups and dynamical systems. Articles Noncommutative joinings III (with Jon Bannon, Kunal Mukherjee), Operators and Matrices, to appear. &hellip; <a href=\"https:\/\/pages.vassar.edu\/jacameron\/research\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Research&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-144","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pages.vassar.edu\/jacameron\/wp-json\/wp\/v2\/pages\/144","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.vassar.edu\/jacameron\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pages.vassar.edu\/jacameron\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pages.vassar.edu\/jacameron\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.vassar.edu\/jacameron\/wp-json\/wp\/v2\/comments?post=144"}],"version-history":[{"count":46,"href":"https:\/\/pages.vassar.edu\/jacameron\/wp-json\/wp\/v2\/pages\/144\/revisions"}],"predecessor-version":[{"id":327,"href":"https:\/\/pages.vassar.edu\/jacameron\/wp-json\/wp\/v2\/pages\/144\/revisions\/327"}],"wp:attachment":[{"href":"https:\/\/pages.vassar.edu\/jacameron\/wp-json\/wp\/v2\/media?parent=144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}