Group Algebras and Algebras of Golod-Shafarevich
نویسندگان
چکیده
منابع مشابه
Golod-Shafarevich algebras, free subalgebras and Noetherian images
It is shown that Golod-Shaferevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth. It is also shown that Golod-Shafarevich algebras of a reduced number of relations cannot be nil. 2010 Mathematics subject classification: 16P40, 1...
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In this paper we survey the main results about Golod-Shafarevich groups and their applications in algebra, number theory and topology.
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chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
15 صفحه اولKazhdan Quotients of Golod-shafarevich Groups
The main goal of this paper is to prove that every Golod-Shafarevich group has an infinite quotient with Kazhdan’s property (T ). In particular, this gives an affirmative answer to the well-known question about non-amenability of Golod-Shafarevich groups.
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The purpose of this article is to develop the notions of amenabilityfor vector valued group algebras. We prove that L1(G, A) is approximatelyweakly amenable where A is a unital separable Banach algebra. We givenecessary and sufficient conditions for the existence of a left invariant meanon L∞(G, A∗), LUC(G, A∗), WAP(G, A∗) and C0(G, A∗).
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1987
ISSN: 0002-9939
DOI: 10.2307/2046423