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Weak Amenability is Stable under Graph Products
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|Title:||Weak Amenability is Stable under Graph Products|
|Issue Date:||May 2016|
|Publisher:||[Honolulu] : [University of Hawaii at Manoa], [May 2016]|
|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 thesis 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.|
|Description:||Ph.D. University of Hawaii at Manoa 2016.|
Includes bibliographical references.
|Appears in Collections:||Ph.D. - Mathematics|
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