C*-algebras from partial isometric representations of LCM semigroups

Titelaufnahme

Titel
C*-algebras from partial isometric representations of LCM semigroups
Verfasser
Starling, Charles ; Tolich, Ilija
Enthalten in
Münster Journal of Mathematics, H. Münster Journal of Mathematics, S. 241-278
Erschienen
2022
Sprache
Englisch
Dokumenttyp
Aufsatz in einer Zeitschrift
URN
urn:nbn:de:hbz:6-23049543812
DOI
10.17879/23049543299

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Abstract

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.

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