Ebadian, A.; Medghalchi, A. R. Real group algebras. (English) Zbl 1074.43002 Iran. J. Sci. Technol., Trans. A, Sci. 28, No. 2, 289-298 (2004). Authors’ abstract: We initiate the study of real group algebras and investigate some of its aspects. Let \(L^1(G)\) be a group algebra of a locally compact group \(G\), \(\tau:\;G\to G\) be a group homeomorphism such that \(\tau^2=\tau\circ\tau=1\), the identity map, and \(L^p(G,\tau)=\{f\in L^p(G):\;f\circ\tau=f\}\) (\(p\geq 1\)). Among other results, we clarify the structure of \(L^p(G,\tau)\) and characterize the amenability of \(L^1(G,\tau)\) and identify its multipliers. Reviewer: Yang Dachun (Kiel) Cited in 1 Document MSC: 43A20 \(L^1\)-algebras on groups, semigroups, etc. 46J99 Commutative Banach algebras and commutative topological algebras Keywords:real Banach algebra; amenability; multiplier; derivation, group involution PDFBibTeX XMLCite \textit{A. Ebadian} and \textit{A. R. Medghalchi}, Iran. J. Sci. Technol., Trans. A, Sci. 28, No. 2, 289--298 (2004; Zbl 1074.43002)