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- W4289546653 abstract "We study the notions of nuclearity and exactness for module maps on C∗-algebras which are C∗-module over another C∗-algebra with compatible actions and examine finite approximation properties of such C∗-modules. We prove module versions of the results of Kirchberg and Choi–Effros. As a concrete example, we extend the finite dimensional approximation properties of reduced C∗-algebras and von Neumann algebras on countable discrete groups to these operator algebras on countable inverse semigroups with the module structure coming from the action of the C∗-algebras on the subsemigroup of idempotents." @default.
- W4289546653 created "2022-08-03" @default.
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- W4289546653 date "2022-09-01" @default.
- W4289546653 modified "2023-10-03" @default.
- W4289546653 title "Finite approximation properties of C∗-modules" @default.
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- W4289546653 doi "https://doi.org/10.1215/00192082-10059123" @default.
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