2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50699I argue that the gauge group of noncommutative gauge theory consists of maps into unitary operators on Hilbert space of the form $u=1+K$ with $K$ compact. Some implications of this proposal are outlined.Latex, 10pp, For proceedings of Strings 2001, added referencesHigh Energy Physics - TheoryTopology of the Gauge Group in Noncommutative Gauge Theorytext