APPROXIMATELY MULTIPLICATIVE DECOMPOSITIONS OF NUCLEAR MAPS

DOI10.1017/S0004972721000575zbMath1496.46060arXiv2105.12250OpenAlexW3185279286MaRDI QIDQ5069280

Douglas A. Wagner

Publication date: 8 April 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12250

zbMATH Keywords

quasidiagonalnuclear $C^*$-algebraorder zeroCPAPexact $C^*$-algebra

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Classifications of (C^*)-algebras (46L35)

Cites Work

• Unnamed Item
• Decomposable approximations of nuclear \(C^*\)-algebras
• A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Generalized inductive limits of finite-dimensional \(C^*\)-algebras
• Quasidiagonal morphisms and homotopy
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Nuclear dimension of simple \(\mathrm{C}^*\)-algebras
• Decomposing nuclear maps
• Completely positive maps of order zero
• COVERING DIMENSION AND QUASIDIAGONALITY
• Classifying maps into uniform tracial sequence algebras
• Decomposable Approximations Revisited
• \(C^*\)-algebras by example

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