Journal article
States on the cuntz algebras and p-adic random walks
Journal of the Australian Mathematical Society, Vol.90(2), pp.197-211
2011
DOI: 10.1017/S1446788711001212
Abstract
Abstract We study Markov measures and p -adic random walks with the use of states on the Cuntz algebras O p . Via the Gelfand–Naimark–Segal construction, these come from families of representations of O p . We prove that these representations reflect selfsimilarity especially well. In this paper, we consider a Cuntz–Krieger type algebra where the adjacency matrix depends on a parameter q ( q =1 is the case of Cuntz–Krieger algebra). This is an ongoing work generalizing a construction of certain measures associated to random walks on graphs.
Details
- Title: Subtitle
- States on the cuntz algebras and p-adic random walks
- Creators
- P. E.T JorgensenA. M Paolucci
- Resource Type
- Journal article
- Publication Details
- Journal of the Australian Mathematical Society, Vol.90(2), pp.197-211
- DOI
- 10.1017/S1446788711001212
- ISSN
- 1446-7887
- eISSN
- 1446-8107
- Language
- English
- Date published
- 2011
- Academic Unit
- Mathematics
- Record Identifier
- 9983985865602771
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