The derivation problem for group algebras

By V. Losert. 2008

84 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8630ccebccfd4ab968da1ec0612e147e115038c5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Yong Zhang
2. F. Ghahramani
3. Y. Choi
4. Tsachik Gelander
5. Anthony To-Ming Lau
6. Nicolas Monod
7. U. Bader
8. Ebrahim Samei

In Mathematical Physics

1. U. Bader
2. Yong Zhang
3. Nicolas Monod
4. Tsachik Gelander
5. F. Ghahramani
6. Anthony To-Ming Lau
7. Y. Choi
8. P. Caprace

Citations in the corpus

• Approximate and pseudo-amenability of various classes of Banach algebras (2008, methodology): “It is also shown that whenever G is an SIN-group, every Segal subalgebra S(G) ⊆ L1(G) is approximately permanently weakly amenable: our proof uses the recent solution by Losert to the derivation problem for group algebras [23].”
• Fixed point properties for semigroups of nonlinear mappings and amenability (2012, result): “rt proof to the long standing derivation problem, that is, every continuous derivation on the group algebra L1(G) is inner for any locally compact group G. The problem was first solved by V. Losert in [37]. For discrete semigroup Sit is well-known that the left reversibility of Simplies that WAP(S) h”
• A fixed point theorem for L1 spaces (2010, background): “As a special case (the “commutative” case), we recover the main theorem of [11] due to Losert, but with an improved (indeed optimal) norm estimate:”