Search results
Results from the WOW.Com Content Network
This page was last edited on 7 November 2017, at 21:07 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
The definition of amenability is simpler in the case of a discrete group, [4] i.e. a group equipped with the discrete topology. [5] Definition. A discrete group G is amenable if there is a finitely additive measure (also called a mean)—a function that assigns to each subset of G a number from 0 to 1—such that
The Tits alternative implies that any amenable linear group is locally virtually solvable; hence, for linear groups, amenability and elementary amenability coincide. References [ edit ]
Discover the latest breaking news in the U.S. and around the world — politics, weather, entertainment, lifestyle, finance, sports and much more.
If A is a group algebra for some locally compact group G then A is amenable if and only if G is amenable.; If A is a C*-algebra then A is amenable if and only if it is nuclear.; If A is a uniform algebra on a compact Hausdorff space then A is amenable if and only if it is trivial (i.e. the algebra C(X) of all continuous complex functions on X).
The search engine that helps you find exactly what you're looking for. Find the most relevant information, video, images, and answers from all across the Web.
Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!
The same is said in Volker Runde's "Lectures on Amenability": The first to use the adjective "amenable" was MM Day in [Day], apparently with a pun in mind. This is the abstract for an AMS meeting where the term was first introduced: Means on semigroups and groups , Bull. A.M.S. 55 (1949) 1054-1055 .