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C*-algebras on r-discrete Abelian Groupoids | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 8، دوره 28، شماره 2، تیر 2017، صفحه 169-174 اصل مقاله (458.6 K) | ||
| نوع مقاله: Final File | ||
| نویسنده | ||
| H. Myrnouri* | ||
| Department of Mathematics, Faculty of Mathematical Sciences, Lahijan Branch of Islamic Azad University, Guilan, Islamic Republic of Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Decomposable groupoid؛ Abelian groupoid؛ Dual groupoid؛ Eigen-functional | ||
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