Semigroups of isometries, Toeplitz algebras and twisted crossed products

DOI10.1007/BF01200396zbMath0813.46060OpenAlexW2041422330MaRDI QIDQ1316467

John Phillips, Iain Raeburn

Publication date: 14 March 1994

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200396

zbMATH Keywords

twisted crossed productsdilation theoreminteger Heisenberg groupprojective isometric representations of semigroupsToeplitz algebras of noncommutative tori

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative dynamical systems (46L55) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Groups and semigroups of linear operators (47D03) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25)

Related Items (7)

A crossed-product approach to the Cuntz–Li algebras ⋮ \(C^*\)-algebras generated by cancellative semigroups ⋮ Discrete product systems with twisted units ⋮ Families of type III KMS states on a class of \(C^*\)-algebras containing \(O_n\) and \({\mathcal Q}_{\mathbb N}\) ⋮ Twisted semigroup crossed products and twisted Toeplitz algebras of ordered groups ⋮ Extending Multipliers from Semigroups ⋮ Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers

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