Geodesic
Small isomorphisms between group algebras
Glasgow mathematical journal, Tome 33 (1991) no. 1, pp. 21-28

Voir la notice de l'article provenant de la source Cambridge University Press

If G1 and G2 are locally compact groups and the algebras Ll(G1) and Ll(G2) are isometrically isomorphic, then G1 and G2 are isomorphic (Wendel, 1952, [8]). There is evidence that the following generalization of Wendel's result is true.If T is an algebra isomorphism of L1(G1) onto L1(G2) with ∥T∥ < √2, then G1, and G2 are isomorphic. 
Wood, G. V. Small isomorphisms between group algebras. Glasgow mathematical journal, Tome 33 (1991) no. 1, pp. 21-28. doi: 10.1017/S0017089500007990
@article{10_1017_S0017089500007990,
     author = {Wood, G. V.},
     title = {Small isomorphisms between group algebras},
     journal = {Glasgow mathematical journal},
     pages = {21--28},
     year = {1991},
     volume = {33},
     number = {1},
     doi = {10.1017/S0017089500007990},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500007990/}
}
TY  - JOUR
AU  - Wood, G. V.
TI  - Small isomorphisms between group algebras
JO  - Glasgow mathematical journal
PY  - 1991
SP  - 21
EP  - 28
VL  - 33
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500007990/
DO  - 10.1017/S0017089500007990
ID  - 10_1017_S0017089500007990
ER  - 
%0 Journal Article
%A Wood, G. V.
%T Small isomorphisms between group algebras
%J Glasgow mathematical journal
%D 1991
%P 21-28
%V 33
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500007990/
%R 10.1017/S0017089500007990
%F 10_1017_S0017089500007990

[1] 1.Kalton, N. J. and Wood, G. V., Homomorphisms of group algebras with norm less than √2, Pacific J. Math. 62 (1976), 439–460. Google Scholar | DOI

[2] 2.Rudin, W., Fourier analysis on groups (Interscience, 1960). Google Scholar

[3] 3.Strichartz, R. S., Isomorphism of group algebras, Proc. Amer. Math. Soc. 17 (1966), 858–862. Google Scholar | DOI

[4] 4.Thomas, A. D. and Wood, G. V., Group Tables (Shiva, 1981). Google Scholar

[5] 5.Wendel, J. G., Left centralizers and isomorphisms of group algebras, Pacific J. Math. 2 (1952), 251–261. Google Scholar | DOI

[6] 6.Wood, G. V., Distance between group algebras, Proc. Roy. Irish Acad. Sect. A 76 (1976), 339–342. Google Scholar

[7] 7.Wood, G. V., Measures with bounded powers on locally compact groups, Trans. Amer. Math. Soc. 268 (1981), 187–209. Google Scholar | DOI

[8] 8.Wood, G. V., Isomorphisms of group algebras, Bull. London Math. Soc. 15 (1983), 247–252. Google Scholar | DOI

Cité par Sources :