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SUMMARY:Cristobal Gil Canto (Malaga)
DTSTART:20200813T100000Z
DTEND:20200813T110000Z
DTSTAMP:20260419T060640Z
UID:CRMDS/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CRMDS/15/">I
 nvariant ideals in Leavitt path algebras</a>\nby Cristobal Gil Canto (Mala
 ga) as part of Western Sydney University Abend Seminars\n\n\nAbstract\nAs 
 well-known examples of Leavitt path algebras arise the so-called primary c
 olours: they respectively correspond to the ideal generated by the set of 
 line points\, the vertices that lie on cycles without exits and the one ge
 nerated by the set in extreme cycles. It is known that these ideals are in
 variant under isomorphism. In this talk we will analyze the invariance of 
 another key piece of a Leavitt path algebra. We will see that though the i
 deal generated by the vertices whose tree contains infinitely many bifurca
 tion vertices or at least one infinite emitter is not invariant\, we will 
 find its natural replacement (which is indeed invariant). We will also giv
 e some procedures to construct invariant ideals from previous known invari
 ant ideals. In order to do that\, on the one hand\, we will introduce a to
 pology in the set of vertices of a graph. And on the other hand\, via cate
 gory theory\, we will think of the saturated and hereditary set of a graph
  as a functor. This a joint work together with Dolores Martín Barquero an
 d Cándido Martín González.\n
LOCATION:https://researchseminars.org/talk/CRMDS/15/
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