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SUMMARY:Eduardo Scarparo (Federal University of Pelotas\, Brazil)
DTSTART:20250205T200000Z
DTEND:20250205T210000Z
DTSTAMP:20260420T053211Z
UID:NYC-NCG/176
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/176/
 ">A tracial characterization of Furstenberg's x p\, x q conjecture</a>\nby
  Eduardo Scarparo (Federal University of Pelotas\, Brazil) as part of Nonc
 ommutative geometry in NYC\n\n\nAbstract\nFurstenberg's conjecture about x
 p\, xq\, invariant measures on $[0\,1)$\, where p and q are multiplicative
 ly independent integers\, is one of the most fundamental open problems in 
 ergodic theory. We will see how the topological counterpart of this conjec
 ture\, which is a theorem due to Furstenberg\, implies the uniqueness of t
 he $C^*$-norm on the complex group ring of a certain metabelian group $G$.
 \n\nFurthermore\, we will present a characterization of the xp\,xq conject
 ure in terms of the traces of $C^*(G)$\, and discuss the primitive ideal s
 pace and K-theory of $C^*(G)$. This is based on joint work with Chris Bruc
 e.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/176/
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