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Weighted shifts and covariance algebras

Donal P. O’Donovan

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Source: Crossref

Published: Jan 1, 1975

DOI: 10.1090/s0002-9947-1975-0385632-1

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Source abstract

The C ∗ {C^ \ast } -algebras generated by bilateral and unilateral shifts are studied in terms of certain covariance algebras. This enables one to obtain an answer to the question of when such shifts are G.C.R., or not, or even when they are N.G.C.R.. In addition these shifts are classified to within algebraic equivalence.

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