<div id=":12y" class="ii gt"><div class="im"><p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 20pt; font-family: Albertus;"></span></p><p class="MsoNormal" style="text-align: left;"><font size="2"><span>Not: Konusmanın ozeti PDF formatında ektedir.</span></font></p>
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Sinan Güzel Sanatlar Üniversitesi</span></p>
</div><p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 20pt; font-family: Albertus;">Matematik
Bölümü Genel Seminerleri</span></p>
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<p class="MsoNormal" style="margin: 0cm 21.6pt 0.0001pt 18pt; text-align: center;" align="center"><b><span style="font-size: 20pt;">Triangular algebras and non-selfadjoint<br>extensions of von Neumann algebras<br></span></b><b><u><span style="font-size: 20pt; font-family: "Arial Black";"></span></u></b></p>
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<p class="MsoNormal" style="text-align: center; line-height: 150%;" align="center"><u><span style="font-size: 20pt; line-height: 150%;">Konuşmacı:</span></u></p>
<p class="MsoNormal" style="text-align: center; line-height: 150%;" align="center"><span style="font-size: 20pt; line-height: 150%;">Mohan Ravichandran<br></span></p>
<p class="MsoNormal" style="text-align: center; line-height: 150%;" align="center"><span style="font-size: 20pt; line-height: 150%;">(Sabanci Üniversitesi)<br></span></p><br><br>Kadison and Singer introduced the class of Triangular algebras in 1960, intitiating the systematic study of non-selfadjoint operator algebras. The prototype of a triangular algebra is the algebra of bounded operators, upper triangular with respect to a given orthonormal basis in a Hilbert space. They called a subalgebra <i>B</i> of <i>B(H)</i> triangular if <i>B \intersection (B)*</i> is a maximal abelian self-adjoint subalgebra (masa in short) of <i>B(H)</i>. I will begin the talk with a survey of the theory of triangular algebras.<br>
<br>In a couple of recent papers in the PNAS, Ge and Yuan, seeking a more intimate connection between non-selfadjoint and self-adjoint algebras, introduced the class of Kadison-Singer algebras. Given a von Neumann algebra <i>M \subset B(H)</i>, a Kadison-Singer algebra <i>A</i> is a maximal reflexive algebra with diagonal <i>M</i>, ie, <i>A* \intersection A = M</i>. Kadison-Singer algebras generalize the most interesting class of triangular algebras and also generalize the class of nest algebras, which have both been extensively studied. I will show how the study of these algebras throws up some tantalizing connections between the theories of non-selfadjoint and von Neumann algebras.<br>
<br>In this talk, I will construct a large family of examples of Kadison-Singer algebras, prove structure results and indicate connections to famous problems in the theory of von Neumann algebras.<br><p class="MsoNormal" style="line-height: 150%;">
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<p class="MsoNormal" style="margin-right: 21.6pt; text-align: justify; line-height: 150%;"><b><span style="font-size: 16pt; line-height: 150%; font-family: "Arial Black";">Yer:</span></b><span style="font-size: 16pt; line-height: 150%; font-family: "Arial Black";"> 408 No’lu Amfi</span></p>
<p class="MsoNormal" style="margin-right: 21.6pt; line-height: 150%;"><span style="font-size: 16pt; line-height: 150%; font-family: "Arial Black";">MSGSÜ Fen Edebiyat Fakültesi (Beşiktaş)</span><span style="font-size: 8pt; line-height: 150%; font-family: "Arial Black";"></span></p>
<p class="MsoNormal" style="margin-right: 21.6pt; line-height: 150%;"><b><span style="font-size: 16pt; line-height: 150%; font-family: "Arial Black";">Zaman:</span></b><span style="font-size: 16pt; line-height: 150%; font-family: "Arial Black";"> <span>2 Nisan</span> 2010 Cuma, 15:00</span></p>
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