Locally compact Clifford semigroups

Embedding Locally Compact Semigroups into Groups

Let X, Y, Z be topological spaces. A function F :X × Y → Z is called jointly continuous if it is continuous from X × Y with the product topology to Z . It is said to be separately continuous if x 7→ F (x, y):X → Z is continuous for each y ∈ Y and y 7→ F (x, y):Y → Z is continuous for each x ∈ X . A semitopological semigroup is a semigroup S endowed with a topology such that the multiplication f...

Characterizing Compact Clifford Semigroups That Embed into Convolution and Functor-semigroups

We study algebraic and topological properties of the convolution semigroups of probability measures on topological groups and show that a compact Clifford topological semigroup S embeds into the convolution semigroup P (G) over some topological group G if and only if S embeds into the semigroup exp(G) of compact subsets of G if and only if S is an inverse semigroup and has zero-dimensional maxi...

The 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...

P-Amenable Locally Compact Hypergroups

Arveson Spectrum On Locally Compact Hypergroups

In this paper we study the concept of Arveson spectrum on locally compact hypergroups and for an important class of compact countable hypergroups . In thiis paper we study the concept of Arveson spectrum on locally compact hypergroups and develop its basic properties for an important class of compact countable hypergroups .