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	<title>Comments on: BC stands for Bi-Crystalline graded</title>
	<atom:link href="http://www.neverendingbooks.org/index.php/bc-stands-for-bi-crystalline-graded.html/feed" rel="self" type="application/rss+xml" />
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	<description>lieven le bruyn&#039;s blog</description>
	<lastBuildDate>Fri, 20 Jan 2012 16:50:41 +0100</lastBuildDate>
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		<title>By: KMS, Gibbs &#38; zeta function &#124; neverendingbooks</title>
		<link>http://www.neverendingbooks.org/index.php/bc-stands-for-bi-crystalline-graded.html/comment-page-1#comment-5001</link>
		<dc:creator>KMS, Gibbs &#38; zeta function &#124; neverendingbooks</dc:creator>
		<pubDate>Thu, 21 Feb 2008 13:32:26 +0000</pubDate>
		<guid isPermaLink="false">http://www.neverendingbooks.org/index.php/bc-stands-for-bi-crystalline-graded.html#comment-5001</guid>
		<description>&lt;p&gt;[...] function the Bost-Connes coset space the Bost-Connes Hecke algebra Bost-Connes for ringtheorists BC stands for Bi-Crystalline graded adeles and ideles Chinese remainders and adele classes abc on adelic Bost-Connes &#8220;God given [...]&lt;/p&gt;
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		<content:encoded><![CDATA[<p>[...] function the Bost-Connes coset space the Bost-Connes Hecke algebra Bost-Connes for ringtheorists BC stands for Bi-Crystalline graded adeles and ideles Chinese remainders and adele classes abc on adelic Bost-Connes &#8220;God given [...]</p>
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		<title>By: abc on adelic Bost-Connes &#124; neverendingbooks</title>
		<link>http://www.neverendingbooks.org/index.php/bc-stands-for-bi-crystalline-graded.html/comment-page-1#comment-4834</link>
		<dc:creator>abc on adelic Bost-Connes &#124; neverendingbooks</dc:creator>
		<pubDate>Sat, 02 Feb 2008 13:52:47 +0000</pubDate>
		<guid isPermaLink="false">http://www.neverendingbooks.org/index.php/bc-stands-for-bi-crystalline-graded.html#comment-4834</guid>
		<description>&lt;p&gt;[...] function the Bost-Connes coset space the Bost-Connes Hecke algebra Bost-Connes for ringtheorists BC stands for Bi-Crystalline graded adeles and ideles Chinese remainders and adele classesabc on adelic [...]&lt;/p&gt;
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		<content:encoded><![CDATA[<p>[...] function the Bost-Connes coset space the Bost-Connes Hecke algebra Bost-Connes for ringtheorists BC stands for Bi-Crystalline graded adeles and ideles Chinese remainders and adele classesabc on adelic [...]</p>
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		<title>By: lieven</title>
		<link>http://www.neverendingbooks.org/index.php/bc-stands-for-bi-crystalline-graded.html/comment-page-1#comment-4688</link>
		<dc:creator>lieven</dc:creator>
		<pubDate>Mon, 28 Jan 2008 11:51:53 +0000</pubDate>
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		<description>&lt;p&gt;Doug,
i dont knw a thing about max-plus etc. algebras but i googled &lt;a href=&quot;http://amadeus.inria.fr/gaubert/papers.html&quot; rel=&quot;nofollow&quot;&gt;this site&lt;/a&gt; which gives me plenty to read up on my ignorance. maybe one day ill have a response...
there are plenty of connections between markov-chains and NCG. here the buzz-term is the &#039;Cuntz-Krieger algebra&#039; (more on this probably later in this series).&lt;/p&gt;
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		<content:encoded><![CDATA[<p>Doug,<br />
i dont knw a thing about max-plus etc. algebras but i googled <a href="http://amadeus.inria.fr/gaubert/papers.html" rel="nofollow">this site</a> which gives me plenty to read up on my ignorance. maybe one day ill have a response&#8230;<br />
there are plenty of connections between markov-chains and NCG. here the buzz-term is the &#8216;Cuntz-Krieger algebra&#8217; (more on this probably later in this series).</p>
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	<item>
		<title>By: Doug</title>
		<link>http://www.neverendingbooks.org/index.php/bc-stands-for-bi-crystalline-graded.html/comment-page-1#comment-4647</link>
		<dc:creator>Doug</dc:creator>
		<pubDate>Sun, 27 Jan 2008 01:08:13 +0000</pubDate>
		<guid isPermaLink="false">http://www.neverendingbooks.org/index.php/bc-stands-for-bi-crystalline-graded.html#comment-4647</guid>
		<description>&lt;p&gt;Hi Lieven,&lt;/p&gt;

&lt;p&gt;When you write about idempotents and semirings, I think of Tropical Algebras [TA], specifically the Max-Plus Algebra, used by applications mathematicians such as engineers.&lt;/p&gt;

&lt;p&gt;I do not know if these latter algebras are bi-crystalline or crystalline?&lt;/p&gt;

&lt;p&gt;Is it possible that NCG and TA are related?&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Hi Lieven,</p>
<p>When you write about idempotents and semirings, I think of Tropical Algebras [TA], specifically the Max-Plus Algebra, used by applications mathematicians such as engineers.</p>
<p>I do not know if these latter algebras are bi-crystalline or crystalline?</p>
<p>Is it possible that NCG and TA are related?</p>
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