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- W1791520967 abstract "With a minor change made in the previous construction we observe that any reduced HNN extension is precisely a compressed algebra of a certain reduced amalgamated free product in both the von Neumann algebra and the $C^*$-algebra settings. It is also pointed out that the same fact holds true even for universal HNN extensions of C$^*$-algebras. We apply the observation to the questions of factoriality and type classification of HNN extensions of von Neumann algebras and also those of simplicity and $K$-theory of (reduced or universal) HNN extensions of $C^*$-algebras." @default.
- W1791520967 created "2016-06-24" @default.
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- W1791520967 date "2006-01-29" @default.
- W1791520967 modified "2023-09-27" @default.
- W1791520967 title "A relationship between HNN extensions and amalgamated free products in operator algebras" @default.
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