# Ganna Kudryavtseva: Prime representations of inverse semigroups

Date: 26. 11. 2017

Source: Algebra and functional analysis seminar

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