On inner amenability of Clifford semigroups
نویسندگان
چکیده
منابع مشابه
Semigroup 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 کاملp-Analog of the Semigroup Fourier-Steiltjes Algebras
In this paper we define the $p$-analog of the restericted reperesentations and also the $p$-analog of the Fourier--Stieltjes algebras on the inverse semigroups . We improve some results about Herz algebras on Clifford semigroups. At the end of this paper we give the necessary and sufficient condition for amenability of these algebras on Clifford semigroups.
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 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 کاملC-algebras of Inverse Semigroups: Amenability and Weak Containment
We argue that weak containment is an appropriate notion of amenability for inverse semigroups. Given an inverse semigroup S and a homomorphism φ of S onto a group G, we show, under an assumption on ker(φ), that S has weak containment if and only if G is amenable and ker(φ) has weak containment. Using Fell bundle amenability, we find a related result for inverse semigroups with zero. We show tha...
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: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1994
ISSN: 0386-2194
DOI: 10.3792/pjaa.70.123