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SUMMARY:Vladimir Manuilov (Moscow State University)
DTSTART:20231122T200000Z
DTEND:20231122T210000Z
DTSTAMP:20260420T053409Z
UID:NYC-NCG/147
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/147/
 ">Metrics on doubles as an inverse semigroup</a>\nby Vladimir Manuilov (Mo
 scow State University) as part of Noncommutative geometry in NYC\n\n\nAbst
 ract\nUsually metrics do not form an algebraic structure. I was interested
  in various metrics on two copies (double) of a metric space $(X\,d)$ such
  that the metric on each copy is $d$\, and only distances between points o
 n different copies of $X$ may vary. To my surprise\, if one passes from me
 trics to their equivalence classes (either quasi-equivalence or coarse equ
 ivalence) then the metrics on the double of $X$ form an inverse semigroup.
  Inverse semigroups are similar to sets of partial isometries on a Hilbert
  space\, and one may define a C*-algebra of an inverse semigroup along the
  same guidelines as group C*-algebras. I shall speak about some results on
  these inverse semigroups\, e.g. when they are commutative\, and when they
  have a kind of finiteness property\, i.e. when the unit is Murray-von Neu
 mann equivalent to a proper projection.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/147/
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