A new light on nets of \(C^\ast\)-algebras and their representations

DOI10.1007/s00220-012-1490-3zbMath1257.46024arXiv1005.3178OpenAlexW3099895034MaRDI QIDQ443868

Giuseppe Ruzzi, Ezio Vasselli

Publication date: 13 August 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3178

zbMATH Keywords

injectivity\(C^\ast\)-dynamical systemsnets of \(C^\ast\)-algebrasuniversal \(C^\ast\)-algebra

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Categories, functors in functional analysis (46M15)

Related Items (17)

\(C^\ast\)-algebra generated by the paths semigroup ⋮ Representations of conformal nets, universal \(C^*\)-algebras and \(K\)-theory ⋮ Background potentials and superselection sectors ⋮ Homotopy theory of net representations ⋮ Where charged sectors are localizable: a viewpoint from covariant cohomology ⋮ Inductive systems of \(C^\ast\)-algebras over posets: a survey ⋮ Aharonov-Bohm superselection sectors ⋮ The \(K\)-homology of nets of \(C^\ast\)-algebras ⋮ On a topology and limits for inductive systems of \(C^\ast \)-algebras over partially ordered sets ⋮ The \(C_0(X)\)-algebra of a net and index theory ⋮ Algebraic field theory operads and linear quantization ⋮ Nets of graded $C^*$-algebras over partially ordered sets ⋮ Gerbes over posets and twisted \(C^*\)-dynamical systems ⋮ On inductive limits for systems of \(C^\ast\)-algebras ⋮ Inductive limits for systems of Toeplitz algebras ⋮ Embedding semigroup \(C^\ast\)-algebras into inductive limits ⋮ Presheaves of superselection structures in curved spacetimes

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