Preprint Article Version 1 NOT YET PEER-REVIEWED

Function Algebras on r-Discrete Abelian Groupoids

1
Department of Mathematics, Faculty of Mathematical Sciences, Lahijan Branch of Islamic Azad University, Guilan, Iran
2
Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran
Version 1 : Received: 12 July 2016 / Approved: 12 July 2016 / Online: 12 July 2016 (10:07:58 CEST)

How to cite: Myrnouri, H.; Amini, M. Function Algebras on r-Discrete Abelian Groupoids. Preprints 2016, 2016070024 (doi: 10.20944/preprints201607.0024.v1). Myrnouri, H.; Amini, M. Function Algebras on r-Discrete Abelian Groupoids. Preprints 2016, 2016070024 (doi: 10.20944/preprints201607.0024.v1).

Abstract

We study certain function algebras and their operator algebra completions on r-discrete abelian groupoids, the corresponding conditional expectations, maximal abelian subalgebras (masa) and eigen-functionals. \keywords{decomposable groupoid \and abelian groupoid\and dual groupoid\and eigen-functional

Subject Areas

abelian groupoid; function algebra; decomposable groupoid; eigen-functional

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