Generalized Group Algebras of Locally Compact Groups |
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| Authors: | S K Jain Ajit Iqbal Singh Ashish K Srivastava |
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| Institution: | 1. Department of Mathematics , Ohio University , Athens, Ohio, USA jain@math.ohiou.edu;3. Indian Statistical Institute , Delhi Centre , New Delhi, India;4. Department of Mathematics , Ohio University , Athens, Ohio, USA |
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| Abstract: | This article studies the homological properties of generalized group algebra L 1(G, A) of a locally compact group G over a Banach algebra A with an identity of norm 1. It is shown that if L 1(G, A) is right continuous then G is finite and A is right continuous. It is also shown that L 1(G, A) is right self-injective if and only if G is finite and A is right self-injective. |
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| Keywords: | Banach algebras Continuous rings Group algebras Locally compact groups Self-injective rings |
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