Automatic surjectivity of ring homomorphisms on <IMG ALIGN=BOTTOM HEIGHT=14 WIDTH=25>-algebras and algebraic differences among some group algebras of compact groups期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Automatic surjectivity of ring homomorphisms on -algebras and algebraic differences among some group algebras of compact groups

Authors:	Lajos Molná r

Institution:	Institute of Mathematics, Lajos Kossuth University, 4010 Debrecen, P. O. Box 12, Hungary

Abstract:	In this paper we present two automatic surjectivity results concerning ring homomorphisms between -classes of an $H^{}$ -algebra which, in some sense, improve the main theorem in a recent paper by the author (Proc. Amer. Math. Soc.* 124 (1996), 169-175) quite significantly. Furthermore, we apply our results to show that for arbitrary infinite compact groups , no quotient ring of $L^{2}(G)$ is isomorphic to $L^{p}(G')$ $(2<p\leq \infty )$ , a statement we conjecture to be true for every pair $L^{p}(G), L^{q}(G')$ of group rings corresponding to different exponents $1\leq p,q\leq \infty$ .

Keywords:	Ring homomorphism $H^{*}$-algebra $p$-class compact group group algebra automatic surjectivity

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