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- W4300070747 abstract "Building on work of Elliott and coworkers, we present three applications of the Cuntz semigroup: (i) for many simple C$^*$-algebras, the Thomsen semigroup is recovered functorially from the Elliott invariant, and this yields a new proof of Elliott's classification theorem for simple, unital AI algebras; (ii) for the algebras in (i), classification of their Hilbert modules is similar to the von Neumann algebra context; (iii) for the algebras in (i), approximate unitary equivalence of self-adjoint operators is characterised in terms of the Elliott invariant." @default.
- W4300070747 created "2022-10-03" @default.
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- W4300070747 date "2007-04-30" @default.
- W4300070747 modified "2023-09-23" @default.
- W4300070747 title "Three Applications of the Cuntz Semigroup" @default.
- W4300070747 doi "https://doi.org/10.48550/arxiv.0704.3988" @default.
- W4300070747 hasPublicationYear "2007" @default.
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