C*-algebras on r-discrete Abelian Groupoids

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Myrnouri H.

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Journal Paper

Paper Information

Journal: JOURNAL OF SCIENCES, ISLAMIC REPUBLIC OF IRAN Year:2017 | Volume:28 | Issue:2 Page(s): 169-174

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Title

C*-algebras on r-discrete Abelian Groupoids

Author(s)

Myrnouri H. | Issue Writer Certificate

Keywords

Decomposable groupoid

Abelian groupoid

Dual groupoid

Eigen-functional

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. We give a semidirect product decomposition for an abelian groupoid. This is done through a matched pair and leads to a C*-diagonal (for a special case). We use this decomposition to study the norm-one eigenvectors of corresponding full C*-algebra instead of the multiplicative functionals (spectrum) which have norm-one in the abelian group case.

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APA: Copy

Myrnouri, H.. (2017). C*-algebras on r-discrete Abelian Groupoids. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 28(2), 169-174. SID. https://sid.ir/paper/718320/en

Vancouver: Copy

Myrnouri H.. C*-algebras on r-discrete Abelian Groupoids. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2017;28(2):169-174. Available from: https://sid.ir/paper/718320/en

IEEE: Copy

H. Myrnouri, “C*-algebras on r-discrete Abelian Groupoids,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 28, no. 2, pp. 169–174, 2017, [Online]. Available: https://sid.ir/paper/718320/en

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