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	<title>Comments on: the Bost-Connes Hecke algebra</title>
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	<description>lieven le bruyn&#039;s blog</description>
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		<title>By: Looking for F_un &#124; neverendingbooks</title>
		<link>http://www.neverendingbooks.org/index.php/the-bost-connes-hecke-algebra.html/comment-page-1#comment-9459</link>
		<dc:creator>Looking for F_un &#124; neverendingbooks</dc:creator>
		<pubDate>Tue, 07 Dec 2010 13:03:49 +0000</pubDate>
		<guid isPermaLink="false">http://www.neverendingbooks.org/index.php/the-bost-connes-hecke-algebra.html#comment-9459</guid>
		<description>[...] Alain Connes came up with an extremely elegant solution to bypass this problem in Noncommutative geometry and the Riemann zeta function. He proposes to replace finite dimensional central simple algebras in the definition of the Brauer group by AF (for Approximately Finite dimensional)-central simple algebras over . This is the origin and the importance of the Bost-Connes algebra. [...]</description>
		<content:encoded><![CDATA[<p>[...] Alain Connes came up with an extremely elegant solution to bypass this problem in Noncommutative geometry and the Riemann zeta function. He proposes to replace finite dimensional central simple algebras in the definition of the Brauer group by AF (for Approximately Finite dimensional)-central simple algebras over . This is the origin and the importance of the Bost-Connes algebra. [...]</p>
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		<title>By: Langlands versus Connes &#124; neverendingbooks</title>
		<link>http://www.neverendingbooks.org/index.php/the-bost-connes-hecke-algebra.html/comment-page-1#comment-9333</link>
		<dc:creator>Langlands versus Connes &#124; neverendingbooks</dc:creator>
		<pubDate>Tue, 26 Oct 2010 10:08:41 +0000</pubDate>
		<guid isPermaLink="false">http://www.neverendingbooks.org/index.php/the-bost-connes-hecke-algebra.html#comment-9333</guid>
		<description>&lt;p&gt;[...] of the adeles by the action of  on it. This algebra is known to be Morita equivalent to the Bost-Connes algebra which is the algebra featuring in Connes&#8217; approach to the Riemann [...]&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>[...] of the adeles by the action of  on it. This algebra is known to be Morita equivalent to the Bost-Connes algebra which is the algebra featuring in Connes&#8217; approach to the Riemann [...]</p>
]]></content:encoded>
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	<item>
		<title>By: the Bost-Connes Hecke algebra</title>
		<link>http://www.neverendingbooks.org/index.php/the-bost-connes-hecke-algebra.html/comment-page-1#comment-4439</link>
		<dc:creator>the Bost-Connes Hecke algebra</dc:creator>
		<pubDate>Sun, 20 Jan 2008 20:18:18 +0000</pubDate>
		<guid isPermaLink="false">http://www.neverendingbooks.org/index.php/the-bost-connes-hecke-algebra.html#comment-4439</guid>
		<description>&lt;p&gt;[...] admin wrote an interesting post today onHere&#8217;s a quick excerptBost and Connes use slightly different generators, namely with and in order to have all relations among the generators being defined over (as we will see another time). This will be important later on to have an action of the cyclotomic &#8230; [...]&lt;/p&gt;
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		<content:encoded><![CDATA[<p>[...] admin wrote an interesting post today onHere&#8217;s a quick excerptBost and Connes use slightly different generators, namely with and in order to have all relations among the generators being defined over (as we will see another time). This will be important later on to have an action of the cyclotomic &#8230; [...]</p>
]]></content:encoded>
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	<item>
		<title>By: History of Mathematics Blog &#187; Blog Archive &#187; the Bost-Connes Hecke algebra</title>
		<link>http://www.neverendingbooks.org/index.php/the-bost-connes-hecke-algebra.html/comment-page-1#comment-4416</link>
		<dc:creator>History of Mathematics Blog &#187; Blog Archive &#187; the Bost-Connes Hecke algebra</dc:creator>
		<pubDate>Sat, 19 Jan 2008 16:21:45 +0000</pubDate>
		<guid isPermaLink="false">http://www.neverendingbooks.org/index.php/the-bost-connes-hecke-algebra.html#comment-4416</guid>
		<description>&lt;p&gt;[...] atlanticpub: [...]&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>[...] atlanticpub: [...]</p>
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	<item>
		<title>By: EquMath: Math Lessons &#187; Blog Archive &#187; the Bost-Connes Hecke algebra</title>
		<link>http://www.neverendingbooks.org/index.php/the-bost-connes-hecke-algebra.html/comment-page-1#comment-4415</link>
		<dc:creator>EquMath: Math Lessons &#187; Blog Archive &#187; the Bost-Connes Hecke algebra</dc:creator>
		<pubDate>Sat, 19 Jan 2008 16:20:09 +0000</pubDate>
		<guid isPermaLink="false">http://www.neverendingbooks.org/index.php/the-bost-connes-hecke-algebra.html#comment-4415</guid>
		<description>&lt;p&gt;[...] mayolaadens: [...]&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>[...] mayolaadens: [...]</p>
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