Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Bunce-Deddens Algebras as Crossed Products by Partial Automorphisms   We describe both the Bunce-Deddens C*-algebras and their Toeplitz versions,
as crossed products of commutative C*-algebras by partial automorphisms. In the
latter case, the commutative algebra has, as its spectrum, the union of the
Cantor set and a copy the set of natural numbers N, fitted together in such a
way that N is an open dense subset. The partial automorphism is induced by a
map that acts like the odometer map on the Cantor set while being the
translation by one on N. From this we deduce, by taking quotients, that the
Bunce-Deddens C*-algebras are isomorphic to the (classical) crossed product of
the algebra of continuous functions on the Cantor set by the odometer map.

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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat