Representations of involutive semigroups.
Representations of Polish groups and continuity
In the first part of the paper, some criteria of continuity of representations of a Polish group in a Banach algebra are given. The second part uses the result of the first part to deduce automatic continuity results of Baire morphisms from Polish groups to locally compact groups or unitary groups. In the final part, the spectrum of an element in the range of a strongly but not norm continuous representation is described.
Representations of Topological Semigroups
Residually finite congruences and quasi-regular subsets in uniform algebras
Right cancellation in ßS and UG.
Right simple subsemigroups and right subgroups of compact convergence semigroups.