Hilbert C*-模上若干算子代数的第一上同调群

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-03-01 DOI:10.1556/012.2020.57.1.1455

H. Ghahramani, S. Sattari

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引用次数: 0

摘要

设X是C*-代数B上的Hilbert C*-模，本文在Hilbert C*-模X上引入了两类算子代数，即具有性质的算子代数和具有性质的算子代数，并在B和X上的若干条件下，研究了它们在各种Banach双模上具有系数的第一(连续)上同调群。我们还研究了这类算子代数的一些性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The first cohomology group of some operator algebras on Hilbert C*-modules

Let X be a Hilbert C*-module over a C*-algebra B. In this paper we introduce two classes of operator algebras on the Hilbert C*-module X called operator algebras with property and operator algebras with property ℤ, and we study the first (continuous) cohomology group of them with coefficients in various Banach bimodules under several conditions on B and X. Some of our results generalize the previous results. Also we investigate some properties of these classes of operator algebras.

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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.