عنوان
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On the C*-Algebras Generated By the Quasi-Regular Representation of Locally Compact Group
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نوع پژوهش
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مقاله ارائه شده کنفرانسی
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کلیدواژهها
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Left quasi-regular representation, group C*−algebras, amenability, Homogeneous factor space
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چکیده
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Abstract. In this paper, we investigate the structure of the quasi-regular representation of locally compact groups, particularly focusing on the amenability of the homogeneous factor space G/H by analyzing the C∗-algebras generated by the left quasi-regular representation λG/H. Our main result extends Theorem 1 in [1], establishing a connection between the amenability of the homogeneous space G/H and the existence of a nonzero multiplicative linear functional on C∗(λG/H(G)).
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پژوهشگران
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اسمعیل فیضی (نفر اول)، اسماعیل سهرابی نور (نفر دوم)، نیما سیدمعصومی (نفر سوم)
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