Group algebra criteria for vanishing of cohomology

Bader Uri; Nowak Piotr W.

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Group algebra criteria for vanishing of cohomology

机译：组成代数标准，用于消失协调

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Given a group satisfying sufficient finiteness properties, we discuss a group algebra criterion for vanishing of all its cohomology groups with unitary coefficients in a certain degree. (C) 2020 Elsevier Inc. All rights reserved.

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《Journal of Functional Analysis》 |2020年第11期|共18页
作者
Bader Uri; Nowak Piotr W.;
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正文语种 eng
中图分类数学;
关键词
Group algebra; Cohomology with coefficients in unitary representations; Property (T);

机译：组代数;与单一表示中的系数的协调学;财产（T）;

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3. Vanishing theorems with algebraic growth and algebraic division properties. complex analytic De Rham cohomology, I [J] . Nobuo Sasakura Proceedings of the Japan Academy, Series A. Mathematical Sciences . 1973,第9期

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4. Cohomology of the vector fields Lie algebras on R acting on trilinear differential operators, vanishing on aff(1) [J] . Basdouri Imed, Nasri Elamine, Mechi Hassen International journal of geometric methods in modern physics . 2017,第10期

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8. The Hochschild cohomology problem for von Neumann algebras [O] . Allan M. Sinclair, Roger R. Smith 1998

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10. Semiinfinite Cohomology of Tate Lie Algebras [R] . Arkhipov, S. 2000

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Group algebra criteria for vanishing of cohomology

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