Functional analytic properties of topological semigroups and $n$-extreme amenability
نویسندگان
چکیده
منابع مشابه
johnson amenability for topological semigroups
–a notion of amenability for topological semigroups is introduced. a topological semigroup s iscalled johnson amenable if for every banach s -bimodule e , every bounded crossed homomorphism froms to e* is principal. in this paper it is shown that a discrete semigroup s is johnson amenable if and only if1(s) is an amenable banach algebra. also, we show that if a topological semigroup s is johns...
متن کاملThe Characterizations of Extreme Amenability of Locally Compact Semigroups
Let S be a locally compact Hausdorff semigroup such that its multiplication is separately continuous. We denote by m S the Banach algebra under the supremum norm of all bounded real-valued functions on S. For a topological semigroup S, let BM S and CB S be the closed subalgebras ofm S consisting of all Borel measurable functions and all continuous functions on S, respectively. Let C0 S be the s...
متن کاملExtreme Amenability of Abelian
We show that for any abelian topological group G and arbitrary diffused submeasure μ, every continuous action of L0(μ,G) on a compact space has a fixed point. This generalizes earlier results of Herer and Christensen, Glasner, Furstenberg and Weiss, and Farah and Solecki. This also answers a question posed by Farah and Solecki. In particular, it implies that if H is of the form L0(μ,R), then H ...
متن کاملSemigroup C*-algebras and Amenability of Semigroups
We construct reduced and full semigroup C*-algebras for left cancellative semigroups. Our new construction covers particular cases already considered by A. Nica and also Toeplitz algebras attached to rings of integers in number fields due to J. Cuntz. Moreover, we show how (left) amenability of semigroups can be expressed in terms of these semigroup C*-algebras in analogy to the group case.
متن کاملAmenability of groups and semigroups characterized by configuration
In 2005, A. Abdollahi and A. Rejali, studied the relations betweenparadoxical decomposition and configuration for semigroups. In thepresent paper, we introduce one other concept of amenability typeon semigroups and groups which includes amenability of semigroupsand inner-amenability of groups. We have extend the previous knownresults to semigroups and groups satisfying this concept.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1970
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1970-0269772-9