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arXiv · 2207.01999

On the monotone $C^*$-algebra

Vitonofrio Crismale·Simone Del Vecchio·Stefano Rossi
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Abstract

The concrete monotone $C^*$-algebra, that is the (unital) $C^*$-algebra generated by monotone independent algebraic random variables of Bernoulli type, is characterized abstractly in terms of generators and relations and is shown to be UHF. Moreover, its Bratteli diagram is explicitly given, which allows for the computation of its $K$-theory.

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Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi. 2022-07-05. On the monotone $C^*$-algebra. https://arxiv.org/abs/2207.01999

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