Complete positivity, tensor products and \(C^*\)-nuclearity for inverse limits of \(C^*\)-algebras

DOI10.1007/BF02836797zbMath0821.46069OpenAlexW2039728560MaRDI QIDQ1185387

Subhash J. Bhatt, Dinesh J. Karia

Publication date: 28 June 1992

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02836797

zbMATH Keywords

tensor productsmultiplier algebrascompletely positive mapsnuclear spacepermanence properties\(C^*\)-algebraic nuclearitycontinuous complete state mapGrothendieck's linear topological nuclearityinjective pro-\(C^*\)-topologynuclear pro-\(C^*\)-algebrapro-\(C^*\)-algebrasprojective pro-\(C^*\)-topologytopology of biequicontinuous convergence

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Tensor products in functional analysis (46M05)

Related Items (7)

Local version of approximation theorem and of \(\lambda\)-tensor product of operator systems ⋮ Tensor products of generalized \(B^\ast\)-algebras ⋮ Atiyah-Jänich theorem for \(\sigma\)-\(C^*\)-algebras ⋮ Applications of Generalized B∗-Algebras to Quantum Mechanics ⋮ Completely positive maps of order zero on pro-\( C^\ast \)-algebras ⋮ Unbounded local completely positive maps of local order zero ⋮ Multi-positive linear functionals on locally \(C^*\)-algebras

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