Duality of Topological Semigroups with Involution

Chemical Sensors Based on Catalytic Reactions

“…The first calorimetric sensors were developed for mine applications to determine dangerous levels of methane [27]. For this purpose, the combustion took place in a pure butane flame housed in a modified flame safety lamp and the heat of combustion was measured with a thermocouple.…”

Boundaries of semilinear spaces and semialgebras

“…Examples. The natural modifications apply to examples (1) through (10). In addition, consider the following.…”

Convolution measure algebras with involution

“…Every compact or discrete inverse semigroup is a continuous-inverse semigroup (see [ö]), but this is not true for locally compact inverse semigroups. A continuousinverse semigroup becomes a topological semigroup with continuous involution (in the sense of [7]) if one takes the involution to be the operation of inversion. Suppose that 5 is a locally compact, topological semigroup with a continuous involution *.…”

“…The idea of an involution on 5 and on A is still implicit in the above theorem; the natural involution on an idempotent semigroup is the identity map, which will induce the involution of complex conjugation onto its measure algebra, so that these involutions do not have to be explicitly assumed. In view of Corollary 3.8 of [7], 5 is idempotent if and only if every element of 5 is real and positive. The proof is now clear if one argues as in the proof of Proposition 1.…”