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- W2964248907 abstract "Given a topological graph $E$ , we give a complete description of tracial states on the $text{C}^{ast }$ -algebra $text{C}^{ast }(E)$ which are invariant under the gauge action; there is an affine homeomorphism between the space of gauge invariant tracial states on $text{C}^{ast }(E)$ and Radon probability measures on the vertex space $E^{0}$ which are, in a suitable sense, invariant under the action of the edge space $E^{1}$ . It is shown that if $E$ has no cycles, then every tracial state on $text{C}^{ast }(E)$ is gauge invariant. When $E^{0}$ is totally disconnected, the gauge invariant tracial states on $text{C}^{ast }(E)$ are in bijection with the states on $text{K}_{0}(text{C}^{ast }(E))$ ." @default.
- W2964248907 created "2019-07-30" @default.
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- W2964248907 date "2017-05-02" @default.
- W2964248907 modified "2023-09-24" @default.
- W2964248907 title "Traces on topological-graph algebras" @default.
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- W2964248907 doi "https://doi.org/10.1017/etds.2016.114" @default.
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