Timeline for From positive definite function to Følner sequence ----- a question on amenability and nuclearity
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| Apr 16, 2013 at 1:17 | comment | added | Chao You | Yes, I want to mimic Brown-Ozawa's proof. What I am most interested in is how to factor $m_{\varphi}$ through $M_n(\mathbb{C})$. Brown-Ozawa's proof gives a model for that. But I don't know what to do with finitely supported positive definite functions. | |
| Apr 15, 2013 at 20:39 | comment | added | Yemon Choi | It took me a while to realise that your initial question is not about operator algebras as such but about harmonic analysis: (a) is a variant on Leptin's condition for the Fourier algebra, and (b) is Folner's condition as you say. Are you just looking for any proof that (a) implies (b), or are you looking for a proof that follows the Brown-Ozawa ideas? | |
| Apr 15, 2013 at 14:17 | history | edited | Chao You | CC BY-SA 3.0 |
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| Apr 15, 2013 at 14:02 | history | edited | Chao You | CC BY-SA 3.0 |
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| Apr 15, 2013 at 12:11 | comment | added | Mike Jury | You might want to look at Brown and Ozawa again, in particular Theorem 2.6.8. | |
| Apr 15, 2013 at 12:08 | comment | added | user2412 | You will find these proved in appendices G and C in the recent monograph by Bekka, de la Harpe and Valette (see perso.univ-rennes1.fr/bachir.bekka/KazhdanTotal.pdf). | |
| Apr 15, 2013 at 12:07 | history | edited | Chao You | CC BY-SA 3.0 |
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| Apr 15, 2013 at 11:53 | history | asked | Chao You | CC BY-SA 3.0 |