The Properties ∗ -Regularity and Uniqueness of C ∗ -Norm in a General ∗ -Algebra
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Publication:3314380
DOI10.2307/1999571zbMath0532.46031OpenAlexW4235811627MaRDI QIDQ3314380
Publication date: 1983
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1999571
representation theoryBanach *-algebra\({}^*\)-regularityreduced Banach \({}^*\)-algebra,separating collection of \({}^*\)-representationsunique \(C^*\)-norm
Representations of topological algebras with involution (46K10) General theory of (C^*)-algebras (46L05) General theory of topological algebras (46H05)
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Some permanence properties of \(C^{*}\)-unique groups ⋮ Admissibility of Weights on Non-normed $*$-Algebras ⋮ Polynomial growth of discrete quantum groups, topological dimension of the dual and *-regularity of the Fourier algebra ⋮ Uniqueness of the uniform norm and adjoining identity in Banach algebras ⋮ Multipliers of weighted semigroups and associated Beurling Banach algebras ⋮ Classification of algebra norms and relations among them ⋮ \(R^\ast\)-algebras and \(C^\ast\)-uniqueness of pre-\(C^\ast\)-algebras ⋮ On the structure of the field \(C^\ast \)-algebra of a symplectic space and spectral analysis of the operators affiliated to it ⋮ Banach algebras with unique uniform norm ⋮ Discontinuous homomorphisms from Banach *-algebras ⋮ Local spectral properties of convolution operators on non-abelian groups ⋮ Uniqueness questions for \(C^\ast\)-norms on group rings ⋮ \(*\)-regularity of certain generalized group algebras ⋮ *-regularity and uniqueness of \(C^*\)-norm for tensor products of *- algebras ⋮ A non-unital $^\ast $-algebra has U$C^{\ast }$NP if and only if its unitization has U$C^{\ast }$NP ⋮ Stinespring representability and Kadison's Schwarz inequality in non-unital Banach star algebras and applications
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