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SUMMARY:Konrad Aguilar (University of Southern Denmark)
DTSTART:20200422T190000Z
DTEND:20200422T200000Z
DTSTAMP:20260420T052741Z
UID:NYC-NCG/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/1/">
 Quantum metrics on the tensor product of a commutative C*-algebra and an A
 F C*-algebra.</a>\nby Konrad Aguilar (University of Southern Denmark) as p
 art of Noncommutative geometry in NYC\n\n\nAbstract\nGiven a compact metri
 c space X and a unital AF algebra A equipped with a faithful tracial state
 \, we place quantum\nmetrics on the tensor product of C(X) and A given est
 ablished quantum metrics on C(X) and A from work with Bice\nand Latremolie
 re. We prove the inductive limit of C(X) tensor A given by A is a metric l
 imit in the Gromov-Hausdorff\npropinquity. We show that our quantum metric
  is compatible with the tensor product by producing a Leibniz rule on\nele
 mentary tensors and showing the diameter of our quantum metric on the tens
 or product is bounded above the diameter\nof the Cartesian product of the 
 quantum metric spaces. We provide continuous families of C(X) tensor A whi
 ch extends\nour previous results with Latremoliere on UHF algebras.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/1/
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