caa a22 4500 445345098 CHVBK 20180317142826.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00233-011-9319-5 doi (NATIONALLICENCE)springer-10.1007/s00233-011-9319-5 Characterizing compact Clifford semigroups that embed into convolution and functor-semigroups [Elektronische Daten] [Taras Banakh, Matija Cencelj, Olena Hryniv, Dušan Repovš] We study algebraic and topological properties of the convolution semigroup of probability measures on a 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 maximal semilattice. We also show that such a Clifford semigroup S embeds into the functor-semigroup F(G) over a suitable compact topological group G for each weakly normal monadic functor F in the category of compacta such that F(G) contains a G-invariant element (which is an analogue of the Haar measure onG). Springer Science+Business Media, LLC, 2011 Convolution semigroup nationallicence Global semigroup nationallicence Hypersemigroup nationallicence Clifford semigroup nationallicence Regular semigroup nationallicence Topological group nationallicence Radon measure nationallicence Weakly normal monadic functor nationallicence Banakh Taras Instytut Matematyki, Jan Kochanowski University, Kielce, Poland aut Cencelj Matija Institute of Mathematics, Physics and Mechanics, and Faculty of Education, University of Ljubljana, P.O.B. 2964, 1001, Ljubljana, Slovenia aut Hryniv Olena Department of Mathematics, Ivan Franko National University of Lviv, Lviv, Ukraine aut Repovš Dušan Faculty of Mathematics and Physics, and Faculty of Education, University of Ljubljana, P.O.B. 2964, 1001, Ljubljana, Slovenia aut Semigroup Forum Springer-Verlag 83/1(2011-08-01), 123-133 0037-1912 83:1<123 2011 83 233 https://doi.org/10.1007/s00233-011-9319-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-011-9319-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Banakh Taras Instytut Matematyki, Jan Kochanowski University, Kielce, Poland aut NATIONALLICENCE 700 1- Cencelj Matija Institute of Mathematics, Physics and Mechanics, and Faculty of Education, University of Ljubljana, P.O.B. 2964, 1001, Ljubljana, Slovenia aut NATIONALLICENCE 700 1- Hryniv Olena Department of Mathematics, Ivan Franko National University of Lviv, Lviv, Ukraine aut NATIONALLICENCE 700 1- Repovš Dušan Faculty of Mathematics and Physics, and Faculty of Education, University of Ljubljana, P.O.B. 2964, 1001, Ljubljana, Slovenia aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 83/1(2011-08-01), 123-133 0037-1912 83:1<123 2011 83 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer