REAL GROUP ALGEBRAS

Document Type: Regular Paper

Authors

1 Current address: Department of Mathematics, Urmia University, I. R. of Iran

2 Faculty of Mathematics, Teacher Training University, Tehran, I. R. of Iran, 15614

Abstract

In this paper we initiate the study of real group algebras and investigate some of its aspects.
Let L1 (G) be a group algebra of a locally compact group G,τ :G →G be a group homeomorphism
such that τ 2 =τοτ = 1, the identity map, and Lp (G,τ ) = { f ∈ Lp (G) : fοτ = f } ( p ≥ 1) . In this
paper, among other results, we clarify the structure of Lp (G,τ ) and characterize amenability of
L1 (G,τ ) and identify its multipliers.

Keywords