Timeline for When is Prim(A) of an infinite discrete group hausdorff ?
Current License: CC BY-SA 3.0
9 events
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Sep 2, 2012 at 13:28 | answer | added | Klaus Funke | timeline score: 2 | |
Aug 14, 2012 at 16:20 | comment | added | Klaus Funke | The condition, that G is a FC-group means, that every conjugate class of G is finitely generated, but the infinite dihedral group is no FC-group. Yes, Prim(A) is the primitive ideal space. | |
Aug 13, 2012 at 23:51 | comment | added | Yemon Choi | Just to clarify: I've usually seen Prim(A) used to denote the primitive ideal space. Do you really mean "prime ideals"? | |
Aug 13, 2012 at 19:12 | comment | added | Yemon Choi | Merci Alain - I should have remembered that! | |
Aug 13, 2012 at 15:04 | comment | added | Alain Valette | @Yemon: the infinite dihedral group is type I, but $Prim(A)$ is not Hausdorff ... | |
Aug 12, 2012 at 21:19 | comment | added | Yemon Choi | If true, this feels like something that Kaniuth might have worked on... I will try to look up details when I next have a free moment in the office. | |
Aug 12, 2012 at 20:11 | history | edited | Yemon Choi |
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Aug 12, 2012 at 20:11 | comment | added | Yemon Choi | I should know this, but: is your condition equivalent to G being a Type I group? (It feels stronger but I can't immediately think of a counter-example) | |
Aug 12, 2012 at 13:42 | history | asked | Klaus Funke | CC BY-SA 3.0 |