| Description |
1 online resource (xviii, 178 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; v. 797 |
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Memoirs of the American Mathematical Society ; no. 797. 0065-9266
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| Contents |
A. Representation theory 1. General representations of $\mathcal {O}_d$ on a separable Hilbert space 2. The free group on $d$ generators 3. $\beta $-KMS states for one-parameter subgroups of the action of $\mathbb {T}̂d$ on $\mathcal {O}_d$ 4. Subalgebras of $\mathcal {O}_d$ B. Numerical AF-invariants 5. The dimension group of $\mathfrak {A}_L$ 6. Invariants related to the Perron-Frobenius eigenvalue 7. The invariants $N$, $D$, Prim($m_N$), Prim($R_D$), Prim($Q_{N-D}$) 8. The invariants $K_0 (\mathfrak {A}_L) \otimes _{\mathbb {Z}} \mathbb {Z}_n$ and $(\operatorname {ker} \tau)\otimes _{\mathbb {Z}} \mathbb {Z}_n$ for $n = 2, 3, 4$ ... 9. Associated structure of the groups $K_0 (\mathfrak {A}_L)$ and $\operatorname {ker} \tau $ 10. The invariant $\operatorname {Ext}(\tau (K_0(\mathfrak {A}_L)), \operatorname {ker} \tau)$ 11. Scaling and non-isomorphism 12. Subgroups of $G_0 = \bigcup ̂\infty _{n=0} Ĵ{-n}_0 \mathcal {L}$ 13. Classification of the AF-algebras $\mathfrak {A}_L$ with rank $(K_0 (\mathfrak {A}_L)) = 2$ 14. Linear algebra of $J$ 15. Lattice points 16. Complete classification in the cases $\lambda = 2$, $N = 2, 3, 4$ 17. Complete classification in the case $\lambda = m_N$ 18. Further comments on two examples from Chapter 16 |
| Notes |
"March 2004, volume 168, number 797 (second of 4 numbers)." |
| Bibliography |
Includes bibliographical references (pages 166-169) |
| Notes |
Print version record |
| Subject |
Ergodic theory.
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Representations of groups.
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Selfadjoint operators.
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Linear operators.
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MATHEMATICS -- Essays.
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MATHEMATICS -- Pre-Calculus.
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MATHEMATICS -- Reference.
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Ergodic theory
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Linear operators
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Representations of groups
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Selfadjoint operators
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| Form |
Electronic book
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| Author |
Jørgensen, Palle E. T., 1947-
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Ostrovsʹkyĭ, Vasylʹ
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| ISBN |
9781470403959 |
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1470403951 |
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