Noncommutative Disc Algebras for Semigroups

DOI10.4153/CJM-1998-015-5zbMath0932.46066MaRDI QIDQ4213978

Gelu Popescu, Kenneth R. Davidson

Publication date: 8 March 2000

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

von Neumann inequalityoperator-valued functiontruncated moment problemCuntz algebrascontractive representationsdilation theoremToeplitz kernelfree product of discrete subsemigroupsnoncommutative disc algebras

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Linear operator methods in interpolation, moment and extension problems (47A57) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Representations of (nonselfadjoint) operator algebras (47L55) Free products of (C^*)-algebras (46L09)

Related Items (11)

\(C^*\)-algebras generated by cancellative semigroups ⋮ ``Real subalgebras of \(C^\ast \)-algebras ⋮ \(\mathrm C^*\)-envelopes of semicrossed products by lattice ordered abelian semigroups ⋮ One class of \(C^*\)-algebras generated by a family of partial isometries and multiplicators ⋮ Arens–Michael envelopes, homological epimorphisms, and relatively quasi-free algebras ⋮ Representations of product systems over semigroups and dilations of commuting CP maps ⋮ Multivariable moment problems ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ Submodules in polydomains and noncommutative varieties ⋮ \(C^*\)-algebras generated by semigroups ⋮ On the Toeplitz algebras of right-angled and finite-type Artin groups

This page was built for publication: Noncommutative Disc Algebras for Semigroups