@article{CTGDC_2004__45_4_287_0, author = {Kruml, David and Resende, Pedro}, title = {On quantales that classify $C^\ast $-algebras}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, volume = {45}, year = {2004}, pages = {287-296}, mrnumber = {2108195}, zbl = {1076.46054}, language = {en}, url = {http://dml.mathdoc.fr/item/CTGDC_2004__45_4_287_0} }
Kruml, David; Resende, Pedro. On quantales that classify $C^\ast $-algebras. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 45 (2004) pp. 287-296. http://gdmltest.u-ga.fr/item/CTGDC_2004__45_4_287_0/
[1] Quantales and C*algebras, J. London Math. Soc. 40 (1989) 398-404. | MR 1053610 | Zbl 0705.06009
, ,[2] A non-commutative generalisation of topology, Indiana Univ. Math. J. 21 (1971) 91-102. | MR 293408 | Zbl 0219.54003
, ,[3] Spatial quantales, Appl. Categ. Structures 10 (2002) 49-62. | MR 1883084 | Zbl 0999.06015
,[4] On quantales and spectra of C*-algebras, Appl. Categ. Structures 11 (2003) 543-560; arXiv: math. OA/0211345. | MR 2017650 | Zbl 1044.46052
, , , ,[5] | MR 853151 | Zbl 0633.46065
, &, Rend. Circ. Mat. Palermo (2) Suppl. (1986) 99- 104.[6] Quantales, Invited Lecture, Summer Conference on Locales and Topological Groups, Curaçao, 1989.
,[7] Quantales, in: M. Hazewinkel (Ed.), The Encyclopaedia of Mathematics, third supplement, Kluwer Academic Publishers, 2002, pp. 312-314.
,[8] A quantisation of the calculus of relations, Canad. Math. Soc. Conf. Proc. 13 (1992) 345-360. | MR 1192157 | Zbl 0793.06008
, ,[9] On the quantisation of points, J. Pure Appl. Algebra 159 (2001) 231-295. | MR 1828940 | Zbl 0983.18007
, ,[10] On the quantisation of spaces, J. Pure Appl. Algebra 175 (2002) 289-325. | MR 1935983 | Zbl 1026.06018
, ,[11] A noncommutative theory of Penrose tilings; arXiv:math.CT/0306361. | MR 2150184
, ,[12] Quantales, in: B. Coecke, D. Moore, A. Wilce, (Eds.), Current Research in Operational Quantum Logic: Algebras, Categories and Languages, Fund. Theories Phys., vol. 111, Kluwer Academic Publishers, 2000, pp. 245-262. | MR 1907153 | Zbl 0962.06017
, ,[13] Simple involutive quantales, J. Algebra 195 (1997) 367-386. | MR 1469630 | Zbl 0894.06005
, ,[14] From algebras to quantales and back, Talk at the Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories, Fields Institute, Toronto, September 23-28, 2002, http://www.fields.utoronto.ca/programs/scientific/02-03/galois_and_hopf/.
,[15] Sup-lattice 2-forms and quantales, J. Algebra 276 (2004) 143-167; arXiv:math.RA/0211320. | MR 2054391 | Zbl 1059.06011
,[16] Multiplicative lattices and C*-algebras, Cahiers de Top. et Géom. Diff. Cat. XXX-2 (1989) 95-110. | Numdam | MR 1004734 | Zbl 0676.46047
,