Uniqueness questions for C∗-norms on group rings
نویسندگان
چکیده
منابع مشابه
Uniqueness of equilibrium on rings
We consider congestion games on networks with nonatomic users and user-specific costs. We are interested in the uniqueness property defined by Milchtaich [Milchtaich, I. 2005. Topological conditions for uniqueness of equilibrium in networks. Math. Oper. Res. 30 225-244] as the uniqueness of equilibrium flows for all assignments of strictly increasing cost functions. He settled the case with two...
متن کاملThe Auslander-Reiten Conjecture for Group Rings
This paper studies the vanishing of $Ext$ modules over group rings. Let $R$ be a commutative noetherian ring and $ga$ a group. We provide a criterion under which the vanishing of self extensions of a finitely generated $Rga$-module $M$ forces it to be projective. Using this result, it is shown that $Rga$ satisfies the Auslander-Reiten conjecture, whenever $R$ has finite global dimension and $ga...
متن کاملQuestions of Uniqueness
Let us suppose we are given a regular, pseudo-nonnegative, left-differentiable monodromy EC . In [5], the authors described discretely connected, analytically quasi-arithmetic graphs. We show that f is smaller than f. The groundbreaking work of S. Maruyama on equations was a major advance. Next, in this setting, the ability to derive sub-nonnegative algebras is essential.
متن کاملgroup rings for communications
this is a survey of some recent applications of abstract algebra, and in particular group rings, to the `communications' areas.
متن کاملUniqueness of Dilation Invariant Norms
Let δa be a nontrivial dilation. We show that every complete norm ‖ · ‖ on L1(RN ) that makes δa from (L1(RN ), ‖ · ‖) into itself continuous is equivalent to ‖ · ‖1. δa also determines the norm of both C0(R ) and Lp(RN ) with 1 < p < ∞ in a weaker sense. Furthermore, we show that even all the dilations do not determine the norm on L∞(RN ).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2019
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2019.298.257