details
Title
A groupoid approach to discrete inverse semigroup algebras
Abstract In is well known in the C*algebra community that the C*algebra of an
inverse semigroup is an etale groupoid algebra. For finite inverse
semigroups, the speaker showed that the semigroup algebra over any base
commutative ring can be fruitfully viewed as a groupoid algebra. In this
talk, we show that any discrete inverse semigroup algebra is a groupoid
algebra and use this to give a description of all finite dimensional
irreducible representations of an inverse semigroup over a field as
induced representations from associated groups.
Speaker(s)
Benjamin Steinberg (Carleton University)
Date
April 27, 2009 Time 14.30 Room
Sala 5.5
