Strong Morita Equivalence of Inverse Semigroups

Simple item page
dc.creatorSteinberg, Benjamin
dc.date2009-01-18
dc.date.accessioned2026-07-07T12:31:31Z
dc.date.available2026-07-07T12:31:31Z
dc.descriptionWe introduce strong Morita equivalence for inverse semigroups. This notion encompasses Mark Lawson's concept of enlargement. Strongly Morita equivalent inverse semigroups have Morita equivalent universal groupoids in the sense of Paterson and hence strongly Morita equivalent universal and reduced $C^*$-algebras. As a consequence we obtain a new proof of a result of Khoshkam and Skandalis showing that the $C^*$-algebra of an $F$-inverse semigroup is strongly Morita equivalent to a cross product of a commutative $C^*$-algebra by a group.
dc.identifierhttps://arxiv.org/abs/0901.2696
dc.identifierhttp://arxiv.org/abs/0901.2696
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216472
dc.subjectOperator Algebras
dc.subjectCategory Theory
dc.subjectGroup Theory
dc.subject46L05; 20M18; 22A22
dc.titleStrong Morita Equivalence of Inverse Semigroups
dc.typetext

Files

Collections

arXiv