Involutions on the second duals of group algebras versus subamenable groups

• Autorzy: Ajit Iqbal Singh
• Języki publikacji: EN

Abstrakty

EN

Let L¹(G)** be the second dual of the group algebra L¹(G) of a locally compact group G. We study the question of involutions on L¹(G)**. A new class of subamenable groups is introduced which is universal for all groups. There is no involution on L¹(G)** for a subamenable group G.

Kategorie tematyczne

• 46K99: None of the above, but in this section
• 43A20: L 1 -algebras on groups, semigroups, etc.
• 54D35: Extensions of spaces (compactifications, supercompactifications, completions, etc.)
• 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 206
• Numer: 1
• Strony: 51-62

Daty

wydano

2011

Twórcy

autor

Ajit Iqbal Singh

• Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 7 S. J. S. Sansanwal Marg, New Delhi-110 016, India

Identyfikatory

DOI

10.4064/sm206-1-4