bio | website | mathnet.ru/php/… |
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location | ||
age | ||
visits | member for | 3 years, 6 months |
seen | 1 hour ago | |
stats | profile views | 1,571 |
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 |
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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? |