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Jan
26
comment Trigonometric polynomials on non-compact and non-abelian groups
Yemon, could you, please, make a little paper from this (for example, in arxiv), so that I could cite it? A separate request: if ${\tt Trig}(G)$ is not an algebra even for Moore groups, then this should be mentioned there, because this is an important proposition for me.
Jan
26
comment What are the reasons for considering rings without identity?
Yemon, I don't understand you. Does anybody consider $\ell^1({\mathbb T})$? The stereotype theory suggests several natural group algebras, in particular, the algebra of measures ${\mathcal C}^\star(G)$, the algebra of distributions ${\mathcal E}^\star(G)$, etc., and they are all Hopf algebras in contrast to $L^1(G)$. The full measure algebra $M({\mathbb T})$ is unital, but it is not a Hopf algebra and not a group algebra, since it does not generate equivalence between representations (of $\mathbb T$ and of $M({\mathbb T})$).
Jan
26
revised What are the reasons for considering rings without identity?
added 45 characters in body
Jan
25
revised What are the reasons for considering rings without identity?
added 45 characters in body
Jan
25
revised What are the reasons for considering rings without identity?
added 69 characters in body
Jan
25
answered What are the reasons for considering rings without identity?
Jan
25
accepted Is a matrix element of a norm continuous representation always a trigonometric polynomial?
Jan
25
comment Trigonometric polynomials on non-compact and non-abelian groups
OK. They will be my heroes as well. :)
Jan
25
accepted Trigonometric polynomials on non-compact and non-abelian groups
Jan
25
comment Trigonometric polynomials on non-compact and non-abelian groups
Yemon, for a long time I am dreaming of getting acquaintance with you. :)
Jan
25
revised Is a matrix element of a norm continuous representation always a trigonometric polynomial?
added 26 characters in body
Jan
25
asked Is a matrix element of a norm continuous representation always a trigonometric polynomial?
Jan
25
comment Trigonometric polynomials on non-compact and non-abelian groups
Александр Игоревич, хочу с вами подружиться. :) If you don't mind, I'll continue this discussion by e-mail. :)
Jan
25
comment Trigonometric polynomials on non-compact and non-abelian groups
Is this true for Moore groups (where every irreducible unitary representation is finite dimensional)?
Jan
25
comment Trigonometric polynomials on non-compact and non-abelian groups
Хм... Большое спасибо! :)
Jan
25
comment Trigonometric polynomials on non-compact and non-abelian groups
Are there at least some natural classes of groups, where this is true?
Jan
25
asked Trigonometric polynomials on non-compact and non-abelian groups
Jan
6
comment Are norm-continuous representations smooth?
It's strange, that there is no direct reference.
Jan
5
accepted Are norm-continuous representations smooth?
Jan
5
comment Are norm-continuous representations smooth?
Is it possible that $H_\infty=H$ when $\rho$ is norm-continuous?