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SUMMARY:Francesco D'Andrea (Università di Napoli Federico II)
DTSTART:20230208T200000Z
DTEND:20230208T210000Z
DTSTAMP:20260420T053359Z
UID:NYC-NCG/120
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/120/
 ">CW structures in noncommutative geometry</a>\nby Francesco D'Andrea (Uni
 versità di Napoli Federico II) as part of Noncommutative geometry in NYC\
 n\n\nAbstract\nI will illustrate some examples and ideas for a theory of C
 W complexes in noncommutative geometry. In order to accommodate some impor
 tant examples\, instead of diagrams in the category of quantum spaces (dua
 l to C*-algebras) one is forced to work with a suitable homotopy category.
  In this category\, K-theory computations are made possible through the us
 e of a Mayer-Vietoris sequence. The K-theory of a quantum space can be pro
 moted from a plain abelian group to an augmented ring (in the sense of Car
 tan-Eilenberg)\, giving a finer topological invariant. The construction of
  this invariant suggests a notion of "topology" and "continuity" in the qu
 antum setting (a kind of Grothendieck topology). This is a work in progres
 s in collaboration with P.M. Hajac\, T. Maszczyk\, A. Sheu\, and B. Zielin
 ski.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/120/
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