most recent 30 from http://mathoverflow.net 2013-06-19T23:24:05Z http://mathoverflow.net/feeds/question/62483 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/62483/multiplicative-functionals saghar 2011-04-21T02:31:26Z 2011-04-21T05:15:03Z

<p>Let G be an non-Abelian locally compact group. What is the set af all multiplicative functionals of L1(G)? (When G is abelian the answer is the dual group)</p>

http://mathoverflow.net/questions/62483/multiplicative-functionals/62493#62493 Anatoly Kochubei 2011-04-21T05:15:03Z 2011-04-21T05:15:03Z

<p>Multiplicative functionals on the group algebra correspond to one-dimensional unitary representations of the group. In the non-commutative case such (nontrivial) representations can be absent or constitute a small part of the set of all irreducible unitary representations. See, for example,</p> <p>M. A. Naimark, Normed rings, Noordhof, Groningen, 1970.</p>