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- W175087379 abstract "We construct a nuclear $C^*$-algebra associated with the fundamental group of a graph of groups of finite type. It is well-known that every word-hyperbolic group with zero-dimensional boundary, in other words, every group acting trees with finite stabilizers is given by the fundamental group of such a graph of groups. We show that our $C^*$-algebra is $*$-isomorphic to the crossed product arising from the associated boundary action and is also given by a Cuntz-Pimsner algebra. We also compute the K-groups and determine the ideal structures of our $C^*$-algebras." @default.
- W175087379 created "2016-06-24" @default.
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- W175087379 date "2005-09-01" @default.
- W175087379 modified "2023-10-14" @default.
- W175087379 title "$C^*$-algebras associated with the fundamental groups of graphs of groups" @default.
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- W175087379 doi "https://doi.org/10.7146/math.scand.a-14963" @default.
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