منابع مشابه
Maximal Crossed Product Orders over Discrete Valuation Rings
The problem of determining when a (classical) crossed product T = S ∗ G of a finite group G over a discrete valuation ring S is a maximal order, was answered in the 1960’s for the case where S is tamely ramified over the subring of invariants S. The answer was given in terms of the conductor subgroup (with respect to f) of the inertia. In this paper we solve this problem in general when S/S is ...
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The concept of a crossed tensor product of algebras is studied from a few points of views. Some related constructions are considered. Crossed enveloping algebras and their representations are discussed. Applications to the noncommutative geometry and particle systems with generalized statistics are indicated. PACS. 02. 40. +m Differential geometry in theoretical physics. PACS. 03. 65. Fd Algebr...
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In this note, we will point out, as a corollary of Popa’s rigidity theory, that the crossed product von Neumann algebras for Bernoulli shifts cannot have relative property T. This is an operator algebra analogue of the theorem shown by Neuhauser and Cherix-Martin-Valette for discrete groups. Our proof is different from that for groups.
متن کاملA Formula for the Direct Product of Crossed Product Algebras
tive radius r. Let the center Xo be the sequence {&?}, and let 5 be chosen so large that 2~~ + 2~ s 2 + • • • k Q s. If we define xi as (ki, &2> ' * • » $j j8+i, is+2, • • • ), then xi belongs to K and limn fn(xi) = + °°Consequently xi cannot be a point of Up and this contradiction establishes U as a set of the f...
متن کاملPseudo-almost valuation rings
The aim of this paper is to generalize thenotion of pseudo-almost valuation domains to arbitrary commutative rings. It is shown that the classes of chained rings and pseudo-valuation rings are properly contained in the class of pseudo-almost valuation rings; also the class of pseudo-almost valuation rings is properly contained in the class of quasi-local rings with linearly ordere...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1993
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1993-1104201-x