Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

The algebraic theory of compact Lawson semilattices Applications of Galois connections to compact semilattices

100%

Hofmann K. H., Stralka A.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction....................................................................................................................................... 5 List of categories........................................................................................................................ 8 1. GALOIS CONNECTIONS................................................................................................................... 10 a. The basic theory of Galois connections............................................................................. 10 b. Applications of Galois connections to compact semilattices........................................ 13 c. Supplementary results on Lawson semilattices.............................................................. 16 2. COMPACT ZERO-DIMENSIONAL SEMILATTICES WITH COMPLETE DUAL............................. 19 a. Dual completeness............................................................................................................... 19 b. The compact closure operator............................................................................................. 21 c. Algebraic and order theoretic characterization of Lawson semilattices....................... 24 d. The functoriality of j, c, m......................................................................................................... 28 3. THE (RIGHT) REFLECTOR P : CL → D a. The ideal lattice......................................................................................................................... 33 b. The morphism $s_L : L → PL$.............................................................................................. 35 c. The functor P : CL → D............................................................................................................. 36 d. PL as a projective object......................................................................................................... 37 4. ON THE FINE STRUCTURE OF PL................................................................................................... 42 a. The construction of A(L).......................................................................................................... 42 b. On the geometric structure of PL........................................................................................... 47 5. EXAMPLES, APPLICATIONS................................................................................................................ 50 Bibliography........................................................................................................................................ 54

Approximately finite-dimensional C*-algebras

100%

Hofmann K. H., Thayer F. J.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction........................................................................................................................... 5 1. Finite-dimensional C*-algebras.................................................................................. 8 The objects...................................................................................................................... 8 The morphisms.............................................................................................................. 9 The matrix calculus........................................................................................................ 13 The graphic representation.......................................................................................... 16 Matrix units....................................................................................................................... 17 2. Almost finite-dimensional C*-algebras..................................................................... 18 The definitions................................................................................................................. 18 Examples......................................................................................................................... 22 Bratteli's scheme............................................................................................................ 23 The separable case....................................................................................................... 25 More examples................................................................................................................ 26 3. Ideals in AFC*-algebras................................................................................................ 28 4. Bratteli diagrams and partially ordered sets............................................................. 30 Augmented posets......................................................................................................... 30 Ideals of augmented posets........................................................................................ 32 The lattice of ideals of an augmented poset............................................................. 33 AFO-aJgebras and augmented posets have equivalent ideal theories............... 34 5. The spectral theory of augmented posets................................................................. 35 Filters and prime ideals................................................................................................ 35 Hull-kernel topologies................................................................................................... 37 AFC*-algebras and augmented posets have equivalent spectral theories........... 40 Prim A characterized for separable AFC*-algebraB................................................. 45 On the center of AFC*-algebras................................................................................... 46 The isomorphy of separable AFC*-algebras reflected in their augmented posets... 48 6. Problems.......................................................................................................................... 53 Appendix. Some remarks on the distributivity of semilattices.................................... 54 References........................................................................................................................... 58

Ograniczanie wyników

2 Hofmann K. H.

1 Stralka A.

1 Thayer F. J.

1 1980

1 1976

Wyniki wyszukiwania

The algebraic theory of compact Lawson semilattices Applications of Galois connections to compact semilattices

Approximately finite-dimensional C*-algebras