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Representation theory and numerical AF-invariants : the representations and centralizers of certain states on Od /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bratteli, Ola
Otros Autores: Jørgensen, Palle E. T., 1947-, Ostrovsʹkyĭ, Vasylʹ
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2004.
Colección:Memoirs of the American Mathematical Society ; no. 797.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Representation theory and numerical AF-invariants :  |b the representations and centralizers of certain states on Od /  |c Ola Bratteli, Palle E.T. Jorgensen, Vasylʹ Ostrovsʹkyĭ. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c 2004. 
300 |a 1 online resource (xviii, 178 pages) :  |b illustrations 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v v. 797 
500 |a "March 2004, volume 168, number 797 (second of 4 numbers)." 
504 |a Includes bibliographical references (pages 166-169). 
588 0 |a Print version record. 
505 0 0 |t A. Representation theory  |t 1. General representations of $\mathcal {O}_d$ on a separable Hilbert space  |t 2. The free group on $d$ generators  |t 3. $\beta $-KMS states for one-parameter subgroups of the action of $\mathbb {T}^d$ on $\mathcal {O}_d$  |t 4. Subalgebras of $\mathcal {O}_d$  |t B. Numerical AF-invariants  |t 5. The dimension group of $\mathfrak {A}_L$  |t 6. Invariants related to the Perron-Frobenius eigenvalue  |t 7. The invariants $N$, $D$, Prim($m_N$), Prim($R_D$), Prim($Q_{N-D}$)  |t 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 $n = 2, 3, 4$ ...  |t 9. Associated structure of the groups $K_0 (\mathfrak {A}_L)$ and $\operatorname {ker} \tau $  |t 10. The invariant $\operatorname {Ext}(\tau (K_0(\mathfrak {A}_L)), \operatorname {ker} \tau)$  |t 11. Scaling and non-isomorphism  |t 12. Subgroups of $G_0 = \bigcup ^\infty _{n=0} J^{-n}_0 \mathcal {L}$  |t 13. Classification of the AF-algebras $\mathfrak {A}_L$ with rank $(K_0 (\mathfrak {A}_L)) = 2$  |t 14. Linear algebra of $J$  |t 15. Lattice points  |t 16. Complete classification in the cases $\lambda = 2$, $N = 2, 3, 4$  |t 17. Complete classification in the case $\lambda = m_N$  |t 18. Further comments on two examples from Chapter 16. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Ergodic theory. 
650 0 |a Representations of groups. 
650 0 |a Selfadjoint operators. 
650 0 |a Linear operators. 
650 6 |a Théorie ergodique. 
650 6 |a Représentations de groupes. 
650 6 |a Opérateurs auto-adjoints. 
650 6 |a Opérateurs linéaires. 
650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Pre-Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Reference.  |2 bisacsh 
650 7 |a Ergodic theory  |2 fast 
650 7 |a Linear operators  |2 fast 
650 7 |a Representations of groups  |2 fast 
650 7 |a Selfadjoint operators  |2 fast 
700 1 |a Jørgensen, Palle E. T.,  |d 1947-  |1 https://id.oclc.org/worldcat/entity/E39PBJk8XdXpJx8FWHWb8m9Yyd 
700 1 |a Ostrovsʹkyĭ, Vasylʹ. 
758 |i has work:  |a Representation theory and numerical AF-invariants (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGmXyykWRffbP97JQdQDYK  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Bratteli, Ola.  |t Representation theory and numerical AF-invariants :  |x 0065-9266  |z 9780821834916 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 797.  |x 0065-9266 
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