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Weak amenability is stable under graph products
- Source :
- Journal of the London Mathematical Society. 96:133-155
- Publication Year :
- 2017
- Publisher :
- Wiley, 2017.
-
Abstract
- Weak amenability of discrete groups was introduced by Haagerup and co-authors in the 1980's. It is an approximation property known to be stable under direct products and free products. In this paper we show that graph products of weakly amenable discrete groups are weakly amenable (with Cowling-Haagerup constant 1). Along the way we construct a wall space associated to the word length structure of a graph product and also give a method for extending completely bounded functions on discrete groups to a completely bounded function on their graph product.
- Subjects :
- Pure mathematics
Mathematics::Operator Algebras
Approximation property
General Mathematics
010102 general mathematics
Structure (category theory)
Space (mathematics)
01 natural sciences
Free product
Bounded function
0103 physical sciences
Graph (abstract data type)
010307 mathematical physics
0101 mathematics
Constant (mathematics)
Graph product
Mathematics
Subjects
Details
- ISSN :
- 00246107
- Volume :
- 96
- Database :
- OpenAIRE
- Journal :
- Journal of the London Mathematical Society
- Accession number :
- edsair.doi...........1224df4ea64884fe5572930bd7ad4bee