Topological representation of \(C^ *\)-algebras

DOI10.2748/tmj/1178244174zbMath0216.16201OpenAlexW2059682572MaRDI QIDQ2545975

Jun Tomiyama

Publication date: 1962

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178244174

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (22)

Stability of a \(\sigma _{P}\)-unital continuous field algebra ⋮ Frobenius structures over Hilbert \(C^*\)-modules ⋮ Representations of algebras by continuous sections ⋮ Dissipative dynamics in semiconductors at low temperature ⋮ Déformations de $C\sp*$-algèbres de Hopf ⋮ THE DAUNS–HOFMANN THEOREM REVISITED ⋮ Continuity properties of the electronic spectrum of 1D quasicrystals ⋮ On the stable rank of algebras of operator fields over metric spaces ⋮ MONOTONE OPERATOR FUNCTIONS ON C*-ALGEBRAS ⋮ Classifying Hilbert bundles ⋮ On the topological reduction of finite von Neumann algebras ⋮ Tensor products and approximation problems of \(C^*\)-algebras ⋮ Spectral continuity for aperiodic quantum systems I. General theory ⋮ Continuity of the spectrum of a field of self-adjoint operators ⋮ Completely bounded mappings and simplicial complex structure in the primitive ideal space of a $C^*$-algebra ⋮ On some representations of \(C^ *\)-algebras ⋮ Multipliers of C -algebras ⋮ Continuity of Spectra in Rieffel’s Pseudodifferential Calculus ⋮ Infinite-dimensional group representations ⋮ On the continuity of spectra for families of magnetic pseudodifferential operators ⋮ The Heisenberg group and \(K\)-theory ⋮ Lipschitz continuity of gap boundaries for Hofstadter-like spectra

Cites Work

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• Some structure theorems for a class of Banach algebras
• A Stone-Weierstrass theorem for \(C^*\)-algebras
• Applications of fibre bundles to the certain class of \(C^*\)-algebras
• Type I \(C^ *\)-algebras
• Normed algebras
• The Dual Spaces of C ∗ -Algebras
• Topological Representation of Algebras. II
• The Structure of Certain Operator Algebras

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