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PROJECTIONS IN L1(G): THE UNIMODULAR CASE

Författare och institution:
Mahmood Alaghmandan (Institutionen för matematiska vetenskaper, Chalmers/GU); Nico Spronk (-); Keith Taylor (-); Mahya Ghandehari (-)
Publicerad i:
Proceedings of the American Mathematical Society, 144 ( 11 ) s. 4929-4941
ISSN:
0002-9939
E-ISSN:
1088-6826
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2016
Språk:
engelska
Sammanfattning (abstract):
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.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik ->
Matematisk analys
Nyckelord:
L1-projection, locally compact group, unimodular, square-integrable representation.
Postens nummer:
240776
Posten skapad:
2016-08-25 21:20

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