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- W3157367142 abstract "We study quotients of the Toeplitz C*-algebra of a random walk, similar to those studied by the author and Markiewicz for finite stochastic matrices. We introduce a new Cuntz-type quotient C*-algebra for random walks that have convergent ratios of transition probabilities. These C*-algebras give rise to new notions of ratio limit space and boundary for such random walks, which are computed by appealing to a companion paper by Woess. Our combined results are leveraged to identify a unique symmetry-equivariant quotient C*-algebra for any symmetric random walk on a hyperbolic group, shedding light on a question of Viselter on C*-algebras of subproduct systems." @default.
- W3157367142 created "2021-05-10" @default.
- W3157367142 creator A5046036437 @default.
- W3157367142 date "2021-01-01" @default.
- W3157367142 modified "2023-09-27" @default.
- W3157367142 title "Toeplitz quotient $C^*$-algebras and ratio limits for random walks" @default.
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- W3157367142 doi "https://doi.org/10.4171/dm/848" @default.
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