On local finite dimensional approximation of \(C^*\)-algebras

DOI10.2140/pjm.1997.181.141zbMath0907.46046OpenAlexW2037741337MaRDI QIDQ1382057

Sorin Popa

Publication date: 1 April 1998

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1997.181.141

zbMATH Keywords

tracequasidiagonalsimpleunital \(C^*\)-algebraslocal finite-dimensional approximationsufficiently many projections

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (20)

Regularity properties of certain crossed product \(C^*\)-algebras ⋮ The nuclear dimension of \(\mathcal{O}_\infty \)-stable \(C^\ast \)-algebras ⋮ Quasidiagonal traces on exact \(C^\ast\)-algebras ⋮ Nuclear dimension of simple \(\mathrm{C}^*\)-algebras ⋮ Rokhlin-type properties of group actions on operator algebras ⋮ On locally finite‐dimensional traces ⋮ Subalgebras of simple AF-algebras ⋮ Dimension, comparison, and almost finiteness ⋮ Covering Dimension of C*-Algebras and 2-Coloured Classification ⋮ Simple nuclear \(C^{*}\)-algebras of tracial topological rank one ⋮ Crossed products by minimal homeomorphisms ⋮ Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras ⋮ Inductive limit of direct sums of simple TAI algebras ⋮ Intrinsic covering dimension for nuclear \(C^*\)-algebras with real rank zero ⋮ CROSSED PRODUCTS OF CERTAIN C*-ALGEBRAS ⋮ Classification of simple \(C^*\)-algebras of tracial topological rank zero ⋮ Model theory of 𝐶*-algebras ⋮ The automorphism group of a simple $\mathcal {Z}$-stable $C^{*}$-algebra ⋮ QDQ vs. UCT ⋮ Tracially AF 𝐶*-algebras

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