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Ganna Kudryavtseva: Prime representations of inverse semigroups

Date: 26. 11. 2017
Source: Algebra and functional analysis seminar
Četrtek, 30. 11. 2017, ob 12:30 v predavalnici 2.03, FMF, Jadranska 21, Ljubljana
We discuss prime representations of  inverse semigroups in distributive inverse semigroups.
We start from the much easier but illuminating case of semilattices, where prime filters generalize the usual notion of a prime filter in a distributive lattice. This is parallel to the fact that
tight filters in a semilattice generalize ultrafilters of Boolean algebras. The construction of the prime groupoid of an inverse
semigroup is similar to the construction of the tight groupoid. We discuss prime representations of graph inverse semigroups
 and express the canonical representation as the "relative Booleanization" of graph inverse semigroups, which is similar to the notion of the relative graph C^* algebra.
 

Vljudno vabljeni!                             

Roman Drnovšek in Primož Moravec