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CONTENTSIntroduction........................................................................................................................... 51. Finite-dimensional C*-algebras.................................................................................. 8 The objects...................................................................................................................... 8 The morphisms.............................................................................................................. 9 The matrix calculus........................................................................................................ 13 The graphic representation.......................................................................................... 16 Matrix units....................................................................................................................... 172. Almost finite-dimensional C*-algebras..................................................................... 18 The definitions................................................................................................................. 18 Examples......................................................................................................................... 22 Bratteli's scheme............................................................................................................ 23 The separable case....................................................................................................... 25 More examples................................................................................................................ 263. Ideals in AFC*-algebras................................................................................................ 284. 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............... 345. 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... 486. Problems.......................................................................................................................... 53Appendix. Some remarks on the distributivity of semilattices.................................... 54References........................................................................................................................... 58
Karl Heinrich Hofmann, and Francisco Javier Thayer. Approximately finite-dimensional C*-algebras. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1980. <http://eudml.org/doc/268488>.
@book{KarlHeinrichHofmann1980, abstract = {CONTENTSIntroduction........................................................................................................................... 51. Finite-dimensional C*-algebras.................................................................................. 8 The objects...................................................................................................................... 8 The morphisms.............................................................................................................. 9 The matrix calculus........................................................................................................ 13 The graphic representation.......................................................................................... 16 Matrix units....................................................................................................................... 172. Almost finite-dimensional C*-algebras..................................................................... 18 The definitions................................................................................................................. 18 Examples......................................................................................................................... 22 Bratteli's scheme............................................................................................................ 23 The separable case....................................................................................................... 25 More examples................................................................................................................ 263. Ideals in AFC*-algebras................................................................................................ 284. 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............... 345. 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... 486. Problems.......................................................................................................................... 53Appendix. Some remarks on the distributivity of semilattices.................................... 54References........................................................................................................................... 58}, author = {Karl Heinrich Hofmann, Francisco Javier Thayer}, keywords = {primitive spectrum; separable approximately finite-dimensional C*- algebra; spectral space; space of prime ideals}, language = {eng}, location = {Warszawa}, publisher = {Instytut Matematyczny Polskiej Akademi Nauk}, title = {Approximately finite-dimensional C*-algebras}, url = {http://eudml.org/doc/268488}, year = {1980}, }
TY - BOOK AU - Karl Heinrich Hofmann AU - Francisco Javier Thayer TI - Approximately finite-dimensional C*-algebras PY - 1980 CY - Warszawa PB - Instytut Matematyczny Polskiej Akademi Nauk AB - CONTENTSIntroduction........................................................................................................................... 51. Finite-dimensional C*-algebras.................................................................................. 8 The objects...................................................................................................................... 8 The morphisms.............................................................................................................. 9 The matrix calculus........................................................................................................ 13 The graphic representation.......................................................................................... 16 Matrix units....................................................................................................................... 172. Almost finite-dimensional C*-algebras..................................................................... 18 The definitions................................................................................................................. 18 Examples......................................................................................................................... 22 Bratteli's scheme............................................................................................................ 23 The separable case....................................................................................................... 25 More examples................................................................................................................ 263. Ideals in AFC*-algebras................................................................................................ 284. 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............... 345. 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... 486. Problems.......................................................................................................................... 53Appendix. Some remarks on the distributivity of semilattices.................................... 54References........................................................................................................................... 58 LA - eng KW - primitive spectrum; separable approximately finite-dimensional C*- algebra; spectral space; space of prime ideals UR - http://eudml.org/doc/268488 ER -
