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SUMMARY:Graph algebras
DTSTART;VALUE=DATE-TIME:20140121T143000Z
DTEND;VALUE=DATE-TIME:20140121T150000Z
DTSTAMP;VALUE=DATE-TIME:20190923T050853Z
UID:indico-event-378@indico.math.cnrs.fr
DESCRIPTION:From a graph (e.g.\, cities and flights between them) one can
generate an algebra which captures the movements along the graph. This tal
k is about one type of such correspondences\, i.e.\, Leavitt path algebras
. Despite being introduced only 8 years ago\, Leavitt path algebras have a
risen in a variety of different contexts as diverse as analysis\, symbolic
dynamics\, noncommutative geometry and representation theory. In fact\, L
eavitt path algebras are algebraic counterpart to graph C*-algebras\, whic
h has become an area of intensive research. There are strikingly parallel
similarities between these two theories. Even more surprisingly\, one cann
ot (yet) obtain the results in one theory as a consequence of the other\;
the statements look the same\, however the techniques to prove them are qu
ite different (as the names suggest\, one uses Algebra and other Analysis)
. These all suggest that there might be a bridge between Algebra and Analy
sis yet to be uncovered. In this talk\, we introduce Leavitt path algebras
and then try to understand the behaviour and to classify them by means of
(graded) K-theory. We will ask nice questions!\n\nhttps://indico.math.cnr
s.fr/event/378/
LOCATION:IHES Amphitéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/378/
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