SYSTEM OF IMPRIMITIVITY ON LOCALLY COMPACT GROUPOIDS

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Amiri Habib

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

SYSTEM OF IMPRIMITIVITY ON LOCALLY COMPACT GROUPOIDS

Author(s)

Amiri Habib | Issue Writer Certificate

Keywords

LOCALLY COMPACT GROUPOIDS

SYSTEM OF IMPRIMITIVITY

Abstract

WE DEFINE A SYSTEM OF IMPRIMITIVITY ON A LOCALLY COMPACT GROUPOID G, WHICH IS AN ORDERED TRIPLE Σ = (P, X, P) CONSISTING OF A REPRESENTATION P OF G ON A HILBERT BUNDLE H = (G0, {HU}, M), A G−SPACE X AND A H−PROJECTION-VALUED MEASURE P ON X WITH SOME SUITABLE PROPERTIES. THE AIM OF THIS PAPER IS TO SHOW THAT, WHEN Å = (P, X, P) IS A SYSTEM OF IMPRIMITIVITY ON A LOCALLY COMPACT GROUPOID G, THEN WE CAN DEFINE A REPRESENTATION FROM CC(X) TO B(L2(G0, {HU}, Μ)).

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APA: Copy

Amiri, Habib. (2012). SYSTEM OF IMPRIMITIVITY ON LOCALLY COMPACT GROUPOIDS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/925325/en

Vancouver: Copy

Amiri Habib. SYSTEM OF IMPRIMITIVITY ON LOCALLY COMPACT GROUPOIDS. 2012. Available from: https://sid.ir/paper/925325/en

IEEE: Copy

Habib Amiri, “SYSTEM OF IMPRIMITIVITY ON LOCALLY COMPACT GROUPOIDS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/925325/en

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