Iterated function systems and permutation representations of the Cuntz algebra
نویسندگان
چکیده
منابع مشابه
ar X iv : f un ct - a n / 96 12 00 2 v 1 1 7 D ec 1 99 6 ITERATED FUNCTION SYSTEMS AND PERMUTATION REPRESENTATIONS OF THE CUNTZ ALGEBRA
We study a class of representations of the Cuntz algebras O N , N = 2, 3,. .. , acting on L 2 (T) where T = R2πZ. The representations arise in wavelet theory, but are of independent interest. We find and describe the decomposition into irreducibles, and show how the O N-irreducibles decompose when restricted to the subalgebra UHF N ⊂ O N of gauge-invariant elements; and we show that the whole s...
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ژورنال
عنوان ژورنال: Memoirs of the American Mathematical Society
سال: 1999
ISSN: 0065-9266,1947-6221
DOI: 10.1090/memo/0663