Generalized Group Algebras of Locally Compact Groups

摘要

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.View full textDownload full textKey WordsBanach algebras, Continuous rings, Group algebras, Locally compact groups, Self-injective rings2000 Mathematics Subject Classification22D15, 16D50Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927870802104469