Voir la notice de l'article provenant de la source Cambridge University Press
Kishimoto, Akitaka; Kumjian, Alex. Simple Stably Projectionless C*-Algebras Arising as Crossed Products. Canadian journal of mathematics, Tome 48 (1996) no. 5, pp. 980-996. doi: 10.4153/CJM-1996-051-0
@article{10_4153_CJM_1996_051_0,
author = {Kishimoto, Akitaka and Kumjian, Alex},
title = {Simple {Stably} {Projectionless} {C*-Algebras} {Arising} as {Crossed} {Products}},
journal = {Canadian journal of mathematics},
pages = {980--996},
year = {1996},
volume = {48},
number = {5},
doi = {10.4153/CJM-1996-051-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1996-051-0/}
}
TY - JOUR AU - Kishimoto, Akitaka AU - Kumjian, Alex TI - Simple Stably Projectionless C*-Algebras Arising as Crossed Products JO - Canadian journal of mathematics PY - 1996 SP - 980 EP - 996 VL - 48 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1996-051-0/ DO - 10.4153/CJM-1996-051-0 ID - 10_4153_CJM_1996_051_0 ER -
%0 Journal Article %A Kishimoto, Akitaka %A Kumjian, Alex %T Simple Stably Projectionless C*-Algebras Arising as Crossed Products %J Canadian journal of mathematics %D 1996 %P 980-996 %V 48 %N 5 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1996-051-0/ %R 10.4153/CJM-1996-051-0 %F 10_4153_CJM_1996_051_0
[Bl] Blackadar, B., A simple C*-algebra with no nontrivial projections, Proc. Amer. Math., Soc. 78(1980), 504–508. Google Scholar
[B2] Blackadar, B., K-theoryfor operator algebras, MSRI Publication Series 5, Springer-Verlag, New York, Heidelberg, Berlin, Tokyo, 1986. Google Scholar
[BK] Blackadar, B. and Kumjian, A., Skew products of relations and structure of simple C*-algebras, Math., Z. 189(1985), 55–63. Google Scholar
[BEH] Bratteli, O., Elliott, G.A., and Herman, R.H., On the possible temperatures of a dynamical system, Comm. Math., Phys. 74(1980), 281–285. Google Scholar
[BEK] Bratteli, O., Elliott, G.A., and Kishimoto, A., The temperature state space of a C*-dynamical system, I, Yokohama Math., J. 28(1980), 125–167. Google Scholar
[Col] Connes, A., An analogue of the Thorn isomorphism for crossed products of a C*-algebra by an action of ℝ, Adv. in, Math. 39(1981), 31–55. Google Scholar
[Co2] Connes, A., A survey of foliations and operator algebras. In: Proc. Sympos. Pure Math., (1) 38(1982), 521–628. Google Scholar
[Cul] Cuntz, J., Simple C*-algebras generated by isometries, Comm. Math., Phys 57(1977), 173–185. Google Scholar
[Cu2] Cuntz, J., K-theory for certain C*-algebras, Ann., Math. 113(1981), 181–197. Google Scholar
[Cu3] Cuntz, J., The internal structure of simple C*-algebras. In: Proc. Sympos. Pure Math., (1) 38(1982), 85–115. Google Scholar
|CP] Cuntz, J. and Pedersen, G.K., Equivalence and traces on C* -algebras, J. Funct., Anal. 33(1979), 135–164. Google Scholar
[Ell] Elliott, G.A., private communication, 1980. Google Scholar
[E12] Elliott, G.A., The classification problem for amenable C* -algebras, preprint. Google Scholar
[Ev] Evans, D.E., On 0n, Publ. Res. Inst. Math. Sci., Kyoto, Univ. 16(1980), 915–927. Google Scholar
[G] Green, P., The local structure of twisted covariance algebras, Acta, Math. 140(1978), 191–250. Google Scholar
[Kr] Kirchberg, E., The classification of purely infinite C*-algebras using Kasparov s theory, preprint. Google Scholar
[Ks] Kishimoto, A., Simple crossed products by locally compact abelian groups, Yokohama Math., J. 28(1980), 69–85. Google Scholar
[KK] Kishimoto, A. and Kumjian, A., Crossed products of Cuntz algebras by quasi-free automorphisms, In: Operator algebras and their applications, (eds. Fillmore, P. and Mingo, J.), Fields Institute Communications, to appear. Google Scholar
[OP] Olesen, D. and Pedersen, G.K., Some C* -dynamical systems with a single KMS state, Math., Scand. 42(1978), 111–118. Google Scholar
[Pa] Paschke, W., The crossed product of a C*-algebra by an endomorphism, Proc. Amer. Math., Soc. 80(1980), 113–118. Google Scholar
[Pd] Pedersen, G.K., C*-algebras and their automorphism groups, Academic Press, London, New York, San Francisco, 1979. Google Scholar
[Ph] Phillips, N.C., A classification theorem for nuclear purely infinite simple C*'-algebras, preprint. Google Scholar
[Re] Renault, J., A groupoid approach to C -algebras, Lecture Notes in Mathematics 793, Springer-Verlag, Berlin, Heidelberg, New York, 1980. Google Scholar
[RS] Rosenberg, J. and Schochet, C., The Kunneth theorem and the universal coefficient theorem for Kasparov s generalized K-functor, Duke Math., J. 55(1987), 431–474. Google Scholar
[Røl] Rørdam, M., Classification of certain infinite simple C*-algebras, J. Funct., Anal. 131(1995), 415–458. Google Scholar
[Rø2] Rørdam, M., Classification of certain infinite simpleC-algebras III, In: Operator algebras and their applications, (eds. Fillmore, P. and Mingo, J.), Fields Institute Communications, to appear. Google Scholar
[S] Schochet, C., Topological methods for C* -algebras II: geometric resolutions and the Kunneth formula, Pacific J., Math. 98(1982), 443–458. Google Scholar
[Ta] Takesaki, M., Duality for crossed products and the structure of von Neumann algebras of type III, Acta, Math. 131(1973), 249–310. Google Scholar
[Th] Thomsen, K., Inductive limits of interval algebras: the tracial state space, Amer. J., Math. 116(1994), 605–620. Google Scholar
Cité par Sources :