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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

 
     
 

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