文档介绍：hep-th/9701078 16 Jan 1997
ocmuaieSae n hi Geometry their and Spaces mutative
iatmnod cez aeaih,Universit` Matematiche, Scienze di Dipartimento
otad lrmr ,I815 aoi Italia. Napoli, I-80125, 20, pad. Oltremare d’ Mostra
.eErp ,I317 ret,Italia. Trieste, I-34127, 1, Europa
nItouto to Introduction An
ret,Jnay1,1997 16, January Trieste,
NN ein iNapoli, di Sezione INFN,
hep-th/9701078
ivniLandi Giovanni
adiTrieste,
Contents
1 Introduction 1
2 mutative Spaces and Algebras of Functions 5
..................................... 5
.............................. 9
............................ 11
TheJacobson(orhull-kernel)Topology................ 12
............................... 16
3 mutative Lattices 19
........................ 19
.............................. 21
............... 26
........................... 31
The space PrimA asaPoset..................... 33
AF-Algebras............................... 33
From Bratteli Diagrams to mutative Lattices . . . . . . . . 40
From mutative Lattices to Bratteli Diagrams . . . . . . . . 43
.............. 54
Operator Valued Functions on mutative Lattices . . . . . . . . . . 55
4 Modules as Bundles 57
..................................... 57
....................... 59
................ 62
Few Elements of K-theory........................... 63
The Group K0 ............................. 64
The K-theory of the Penrose Tiling . . . . . . . . . . . . . . . . . . 68
Higher Order K-groups......................... 72
5 The Spectral Calculus 75
Infinitesimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .