The continuity of derivations from group algebras: factorizable and connected groups

Author:

Willis George

Abstract

AbstractA group is said to be factorizable if it has a finite number of abelian subgroups, H1, H2, … Hn, such that G = H1H2Hn. It is shown that, if G is a factorizable or connected locally compact group, then every derivation from L1 (G) to an arbitrary L1 (G)-bimodule X is continuous.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Continuity Conditions for Finite-Dimensional Locally Bounded Representations of Connected Locally Compact Groups;Russian Journal of Mathematical Physics;2018-07

2. Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture;Journal of Mathematical Sciences;2009-05-30

3. Kazhdan-Mil'man problem for semisimple compact Lie groups;Russian Mathematical Surveys;2007-02-28

4. Factorization in finite-codimensional ideals of group algebras;Proceedings of the London Mathematical Society;2001-05

5. Derivations from Banach algebras;North-Holland Mathematics Studies;2001

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