Preprint Article Version 1 NOT YET PEER-REVIEWED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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