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SUMMARY:Alexander Frei (University of Copenhagen)
DTSTART:20210414T190000Z
DTEND:20210414T200000Z
DTSTAMP:20260420T053103Z
UID:NYC-NCG/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/53/"
 >Relative Cuntz-Pimsner algebras: Gauge-invariant uniqueness theorem and t
 he lattice of gauge-invariant ideals</a>\nby Alexander Frei (University of
  Copenhagen) as part of Noncommutative geometry in NYC\n\n\nAbstract\nWe s
 tart with an abstract definition of C*-correspondences comparing them to F
 ell bundles.\nAfter a first few basic results\, we then swiftly move on to
  their representations.\nWe introduce here the concept of covariances and 
 relative Cuntz-Pimsner algebras.\n\nFrom here we go into a detailed analys
 is of covariances within the category of C*-correpondences.\nWe obtain her
 e a systematic reduction leading us to a parametrisation of relative Cuntz
 -Pimsner algebras.\n\nWith this at hand we arrive at the gauge-invariant u
 niqueness theorem\, for all (arbitrary) gauge-equivariant representations 
 at once.\n\nFrom here we move on to the analysis part of the program.\nWe 
 study the covariances in the case of the Fock representation and its quoti
 ents.\nAs a result we derive that the parametrisation of relative Cuntz-Pi
 msner algebras is classifying.\nIn other words\, we obtain a complete and 
 intrinsic picture of the lattice of quotients\, and equivalently of gauge-
 invariant ideals.\n\nIf time permits\, we finish off with the next chapter
  on their induced Fell bundles\, as already investigated by Schweizer.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/53/
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