Involutions on the second duals of group algebras versus subamenable groups

被引：3

作者：

Singh, Ajit Iqbal ^{[1
]}

机构：

[1] Indian Stat Inst, Theoret Stat & Math Unit, New Delhi 110016, India

来源：

STUDIA MATHEMATICA | 2011年 / 206卷 / 01期

关键词：

Arens product; group algebra; involutions; second dual; Stone-Cech compactification; subamenable group; RIGHT CANCELLATION; IDEALS; MULTIPLICATION;

D O I：

10.4064/sm206-1-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L-1(G)** be the second dual of the group algebra L-1(G) of a locally compact group G. We study the question of involutions on L-1(G)**. A new class of subamenable groups is introduced which is universal for all groups. There is no involution on L-1(G)** for a subamenable group G.

引用

页码：51 / 62

页数：12

共 37 条

[1]

[Anonymous], 1994, ENCY MATH APPL

[2] THE ADJOINT OF A BILINEAR OPERATION [J].

ARENS, R .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 2 (06) :839-848

[3]

Arens R., 1951, MONATSH MATH, V55, P1

[4] SUBSEMIGROUPS OF STONE-CECH COMPACTIFICATIONS [J].

BUDAK, T ;

ISIK, N ;

PYM, J .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1994, 116 :99-118

[5]

Civin Yood B., 1961, Pacific J Math, V11, P847, DOI DOI 10.2140/PJM.1961.11.847

[6] Banach Algebras on Semigroups and on Their Compactifications [J].

Dales, H. G. ;

Lau, A. T. -M. ;

Strauss, D. .

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 205 (966) :1-+

[7]

Day M. M., 1957, ILLINOIS J MATH, V1, P509

[8] SOME ASPECTS AND EXAMPLES OF INFINITY NOTIONS [J].

DEGEN, JW .

MATHEMATICAL LOGIC QUARTERLY, 1994, 40 (01) :111-124

[9] GENERALIZED GROUP ALGEBRAS [J].

DOUGLAS, RG .

ILLINOIS JOURNAL OF MATHEMATICS, 1966, 10 (02) :309-&

[10] THE 2ND DUAL OF A BANACH ALGEBRA [J].

DUNCAN, J ;

HOSSEINIUM, SAR .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1979, 84 :309-325

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