TY  - JOUR
AB  - We give a new construction of a C*-algebra from a cancellative semigroup P via partial isometric representations, generalizing the construction from the second named author’s thesis. We then study our construction in detail for the special case when P is an LCM semigroup. In this case, we realize our algebras as inverse semigroup algebras and groupoid algebras, and apply our construction to free semigroups and Zappa–Szép products associated to self-similar groups.
AU  - Starling, Charles
AU  - Tolich, Ilija
DA  - 2022
DO  - 10.17879/23049543299
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 241
PY  - 2022
SP  - 241-278
T2  - Münster Journal of Mathematics
TI  - C*-algebras from partial isometric representations of LCM semigroups
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-23049543812
Y2  - 2024-11-21T16:23:37
ER  -