<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Iakovos Androulidakis</style></author><author><style face="normal" font="default" size="100%">Georges Skandalis</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The analytic index of elliptic pseudo differential operators on a singular foliation</style></title><secondary-title><style face="normal" font="default" size="100%">J. K-theory</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.cambridge.org/core/journals/journal-of-k-theory/article/analytic-index-of-elliptic-pseudodifferential-operators-on-a-singular-foliation/335714E40F03FD0D093A2D4D5F25E3EB</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">8</style></volume><pages><style face="normal" font="default" size="100%">363–385</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;span&gt;In previous papers ([1, 2]) we defined the&amp;nbsp;&lt;/span&gt;&lt;span class=&quot;italic&quot;&gt;C&lt;/span&gt;&lt;span&gt;*-algebra and the longitudinal pseudodifferential calculus of any singular foliation (&lt;/span&gt;&lt;span class=&quot;italic&quot;&gt;M&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;img src=&quot;https://static.cambridge.org/resource/id/urn:cambridge.org:id:binary:20151019112510912-0010:S1865243309999159_inline1.gif?pub-status=live&quot;&gt;&lt;span&gt;). In the current paper we construct the analytic index of an elliptic operator as a&amp;nbsp;&lt;/span&gt;&lt;span class=&quot;italic&quot;&gt;KK&lt;/span&gt;&lt;span&gt;-theory element, and prove that this element can be obtained from an “adiabatic foliation”&amp;nbsp;&lt;/span&gt;&lt;img src=&quot;https://static.cambridge.org/resource/id/urn:cambridge.org:id:binary:20151019112510912-0010:S1865243309999159_inline2.gif?pub-status=live&quot;&gt;&lt;span&gt;&amp;nbsp;on&amp;nbsp;&lt;/span&gt;&lt;span class=&quot;italic&quot;&gt;M&lt;/span&gt;&lt;span&gt;×ℝ, which we introduce here.&lt;/span&gt;</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue></record></records></xml>