Universal Operator Algebras Associated to Contractive Sequences of Non-Commuting Operators

DOI10.1112/S0024610798006656zbMath0934.46064MaRDI QIDQ4265401

Gelu Popescu

Publication date: 25 April 2000

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Cuntz algebracompletely positive mapsfactorization theoremsuniversal operator algebraminimal isometric dilationfree operator algebrasHilbert modules over \(C^*\)-algebrasnon-commutative contractive sequence of operatorsnon-commutative disc algebrasnon-spatial construction

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Free probability and free operator algebras (46L54) (C^*)-modules (46L08) Abstract operator algebras on Hilbert spaces (47L30)

Related Items (3)

Clark theory in the Drury-Arveson space ⋮ Aleksandrov-Clark theory for Drury-Arveson space ⋮ Minimal Cuntz--Krieger dilations and representations of Cuntz--Krieger algebras

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