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SUMMARY:Jintao Deng (SUNY at Buffalo)
DTSTART:20241030T190000Z
DTEND:20241030T200000Z
DTSTAMP:20260420T053230Z
UID:NYC-NCG/174
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/174/
 ">Twisted Roe Algebras and the Coarse Baum-Connes Conjecture</a>\nby Jinta
 o Deng (SUNY at Buffalo) as part of Noncommutative geometry in NYC\n\n\nAb
 stract\nThe coarse Baum-Connes conjecture claims that certain topological 
 K-homology and the K-theory of Roe algebras associated to metric spaces ar
 e isomorphic via the index map. It provides algorithm to compute the highe
 r indices for elliptic operators on non-compact Riemannian manifolds.  The
  higher index is an element of the K-theory of the Roe algebra. To underst
 and Roe algebras\, we introduced a notion of twisted Roe algebras and a tw
 isted coarse Baum-Connes conjecture. In the talk\, I will cover basic prop
 erties of the twisted Roe algebras and the K-theory for the twisted algebr
 as associated with metric spaces with a coarsely embeddable fibration stru
 cture. As an application\, the coarse Baum-Connes conjecture holds for a f
 initely generated group which is an extension of coarsely embeddable group
 s. This is based on a joint work with Liang Guo.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/174/
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