TY - JOUR
T1 - Central idempotent measures on connected locally compact groups
AU - Greenleaf, Frederick P.
AU - Moskowitz, Martin
AU - Rothschild, Linda Preiss
N1 - Funding Information:
in part by NSF grants: GP-19258,
PY - 1974/1
Y1 - 1974/1
N2 - A measure μ of finite total variation on a locally compact group G is idempotent if μ * μ = μ, and is central if invariant under all inner automorphisms of G. Recent results of D. Rider and D. Ragozin concerning compact groups are combined with results of the authors for noncompact groups to determine all central idempotent measures on a connected G in terms of the structural features of G.
AB - A measure μ of finite total variation on a locally compact group G is idempotent if μ * μ = μ, and is central if invariant under all inner automorphisms of G. Recent results of D. Rider and D. Ragozin concerning compact groups are combined with results of the authors for noncompact groups to determine all central idempotent measures on a connected G in terms of the structural features of G.
UR - http://www.scopus.com/inward/record.url?scp=0010678247&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0010678247&partnerID=8YFLogxK
U2 - 10.1016/0022-1236(74)90023-8
DO - 10.1016/0022-1236(74)90023-8
M3 - Article
AN - SCOPUS:0010678247
SN - 0022-1236
VL - 15
SP - 22
EP - 32
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -