Isometric Dilations of Non-Commuting Finite Rank n-Tuples

DOI10.4153/CJM-2001-022-0zbMath0973.47057arXivmath/0411521MaRDI QIDQ2715682

Miron E. Shpigel, David W. Kribs, Kenneth R. Davidson

Publication date: 20 May 2001

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

Full work available at URL: https://arxiv.org/abs/math/0411521

zbMATH Keywords

similarity invariantsCuntz-Toeplitz algebrahyper-reflexivejoint isometric dilationunique minimal joint dilation

Mathematics Subject Classification ID

Structure theory of linear operators (47A65) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Nonselfadjoint (sub)algebras in algebras with involution (46K50)

Related Items (22)

Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\) ⋮ Finitely correlated representations of product systems of \(C^{*}\)-correspondences over \(\mathbb N^k\) ⋮ Noncommutative rational Clark measures ⋮ Morita isomorphism for Cuntz algebras ⋮ Ranks of linear matrix pencils separate simultaneous similarity orbits ⋮ Rational Cuntz states peak on the free disk algebra ⋮ The isomorphism problem for some universal operator algebras ⋮ Free biholomorphic functions and operator model theory. II ⋮ Atomic representations of rank 2 graph algebras ⋮ Free pluriharmonic majorants and commutant lifting ⋮ Operator theory on noncommutative domains ⋮ Free holomorphic functions on the noncommutative polydomains and universal models ⋮ Noncommutative Berezin transforms and multivariable operator model theory ⋮ Minimality of the data in wavelet filters (with an appendix by Brian Treadway) ⋮ Absolutely continuous representations and a Kaplansky density theorem for free semigroup algebras ⋮ The curvature invariant of a non-commuting \(n\)-tuple ⋮ Berezin transforms on noncommutative polydomains ⋮ Minimal Cuntz--Krieger dilations and representations of Cuntz--Krieger algebras ⋮ Standard noncommuting and commuting dilations of commuting tuples ⋮ Structure of free semigroupoid algebras ⋮ Nonself-adjoint $2$-graph algebras ⋮ Wavelet representations and Fock space on positive matrices

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