شماره ركورد كنفرانس :
5263
عنوان مقاله :
A representation of a groupoid of mappings
پديدآورندگان :
Amiri Habib h.amiri@znu.ac.ir Department of Mathematics, Faculty of Sciences, University of Zanjan, University Blvd., Zanjan 45371-38791, Iran.
كليدواژه :
mapping groupoid , current groupoid , representation of groupoids
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
Endowing functions from a set $X$ with values in a groupoid $G$ with the pointwise groupoid operations one obtains a groupoid which is called current groupoid. In this paper, we show that every unitary representation $L$ of a groupoid $G$ on a measurable Hilbert bundle lift to a unitary representation $pi_L$ of the current groupoid $C(X,G)$ on a frame groupoid of a Hilbert field.
