Details
| Original language | English |
|---|---|
| Pages (from-to) | 97-143 |
| Number of pages | 47 |
| Journal | J. Operator Theory |
| Volume | 43 |
| Issue number | 1 |
| Publication status | Published - 2000 |
Abstract
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In: J. Operator Theory, Vol. 43, No. 1, 2000, p. 97-143.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Pure states on O_d
AU - Bratteli, O.
AU - Jorgensen, P. E. T.
AU - Kishimoto, A.
AU - Werner, R. F.
PY - 2000
Y1 - 2000
N2 - We study representations of the Cuntz algebras O their restrictions to the gauge-invariant subalgebra UHFd have an interesting cyclic structure. If S 1 le i are representatives of the Cuntz relations on a Hilbert space H, special attention is given to the subspaces which are invariant under S. The applications include wavelet multiresolutions corresponding to wavelets of compact support (to appear in the later paper [8]), and finitely correlated states on one-dimensional quantum spin chains.
AB - We study representations of the Cuntz algebras O their restrictions to the gauge-invariant subalgebra UHFd have an interesting cyclic structure. If S 1 le i are representatives of the Cuntz relations on a Hilbert space H, special attention is given to the subspaces which are invariant under S. The applications include wavelet multiresolutions corresponding to wavelets of compact support (to appear in the later paper [8]), and finitely correlated states on one-dimensional quantum spin chains.
M3 - Article
VL - 43
SP - 97
EP - 143
JO - J. Operator Theory
JF - J. Operator Theory
IS - 1
ER -