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عنوان
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Character contractibility of L1(G/H)
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نوع پژوهش
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ارائه مقاله در کنفرانسهای علمی
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کلیدواژهها
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Locally comact topological group, Homogeneous space, Character contractibility.
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چکیده
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In this note, for a compact subgroup H of locally compact topological group G, we consider the homogeneous space G/H equipped with strongly quasi-invariant Radon measure µ which arises from a rho-function. We show that for each φ in the spectrum of L1(G/H), the Banach algebra L1(G/H) is right φ-contractible if and only if G/H is compact. When H is normal in G, this implies that L1(G) is character contractible if and only if G is finite.
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پژوهشگران
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بهروز الفتیان گیلان (Behrooz Olfatian Gillan) (نفر اول)
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