Projections In L1(G): The Unimodular Case
Artikel i vetenskaplig tidskrift, 2016

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.

square-integrable representation.

locally compact group

L1-projection

unimodular

Författare

Mahmood Alaghmandan

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Göteborgs universitet

Nico Spronk

University of Delaware

N. Spronk

University of Waterloo

Mahya Ghandehari

Dalhousie University

Proceedings of the American Mathematical Society

0002-9939 (ISSN) 1088-6826 (eISSN)

Vol. 144 4929-4941

Ämneskategorier

Matematisk analys

DOI

10.1090/proc/13142