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Projections In L1(G): The Unimodular Case

Mahmood Alaghmandan (Institutionen för matematiska vetenskaper, Analys och sannolikhetsteori) ; Nico Spronk ; Keith Taylor ; Mahya Ghandehari
Proceedings of the American Mathematical Society (0002-9939). Vol. 144 (2016), 11, p. 4929-4941.
[Artikel, refereegranskad vetenskaplig]

We consider the issue of describing all self-adjoint idempotents (projections) in L1(G) when G is a unimodular locally compact group. The approach is to take advantage of known facts concerning subspaces of the Fourier-Stieltjes and Fourier algebras of G and the topology of the dual space of G. We obtain an explicit description of any projection in L1(G) which happens to also lie in the coefficient space of a finite direct sum of irreducible representations. This leads to a complete description of all projections in L1(G) for G belonging to a class of groups that includes SL2(R) and all second countable almost connected nilpotent locally compact groups.

Nyckelord: L1-projection, locally compact group, unimodular, square-integrable representation.

Denna post skapades 2016-08-25. Senast ändrad 2016-11-08.
CPL Pubid: 240776


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