Weakly projective $C^*$-algebras

previous :: next

Weakly projective $C^*$-algebras

Terry A. Loring

Source: Rocky Mountain J. Math. Volume 42, Number 3 (2012), 959-977.

First Page: Show

Primary Subjects: 46L85

Keywords: $C^*$-algebras; compactum; lifting; residually finite dimensional; approximative absolute retract

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.

If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1344430867
Digital Object Identifier: doi:10.1216/RMJ-2012-42-3-959
Zentralblatt MATH identifier: 06066669
Mathematical Reviews number (MathSciNet): MR2966480

back to Table of Contents

References

Robert J. Archbold, On residually finite-dimensional $C^*$-algebras, Proc. Amer. Math. Soc. 123 (1995), 2935-2937.

Mathematical Reviews (MathSciNet): MR1301006

Zentralblatt MATH: 0845.46029

Bruce Blackadar, Shape theory for $C^\ast$-algebras, Math. Scand. 56 (1985), 249-275.

Mathematical Reviews (MathSciNet): MR813640

Zentralblatt MATH: 0615.46066

–––, Semiprojectivity in simple $C^*$-algebras, in Operator algebras and applications, Adv. Stud. Pure Math. 38, Math. Soc. Japan, Tokyo, 2004.

Mathematical Reviews (MathSciNet): MR2059799

Zentralblatt MATH: 1065.46032

Karol Borsuk, Theory of shape, PWN-Polish Scientific Publishers, Warsaw, 1975.

Mathematical Reviews (MathSciNet): MR418088

Alex Chigogidze and Alexander N. Dranishnikov, Which compacta are noncommutative ARs?, Topology Appl., to appear.

Mathematical Reviews (MathSciNet): MR2585410

Zentralblatt MATH: 1187.54017

Digital Object Identifier: doi:10.1016/j.topol.2009.08.007

Michael H. Clapp, On a generalization of absolute neighborhood retracts, Fund. Math. 70 (1971), 117-130.

Mathematical Reviews (MathSciNet): MR286081

Marius Dadarlat and George A. Elliott, One-parameter continuous fields of Kirchberg algebras, Comm. Math. Phys. 274 (2007), 795-819.

Mathematical Reviews (MathSciNet): MR2328913

Zentralblatt MATH: 1146.46037

Digital Object Identifier: doi:10.1007/s00220-007-0298-z

Edward G. Effros and Jerome A. Kaminker, Homotopy continuity and shape theory for $C^\ast$-algebras, in Geometric methods in operator algebras, Pitman Res. Notes Math. Ser., Longman Sci. Tech., Harlow, 1986.

Mathematical Reviews (MathSciNet): MR866493

Zentralblatt MATH: 0645.46051

Søren Eilers and Terry A. Loring, Computing contingencies for stable relations, Internat. J. Math. 10 (1999), 301-326.

Mathematical Reviews (MathSciNet): MR1688149

Zentralblatt MATH: 1039.46506

Digital Object Identifier: doi:10.1142/S0129167X99000112

Ruy Exel and Terry A. Loring, Finite-dimensional representations of free product $C^*$-algebras, Internat. J. Math. 3 (1992), 469-476.

Mathematical Reviews (MathSciNet): MR1168356

Zentralblatt MATH: 0809.46055

Digital Object Identifier: doi:10.1142/S0129167X92000217

Don Hadwin and Weihua Li, A note on approximate liftings, Oper. Matrices 3 (2009), 125-143.

Mathematical Reviews (MathSciNet): MR2500597

Zentralblatt MATH: 1181.46042

Digital Object Identifier: doi:10.7153/oam-03-06

Sze-tsen Hu, Theory of retracts, Wayne State University Press, Detroit, 1965.

Mathematical Reviews (MathSciNet): MR181977

Huaxin Lin, Weak semiprojectivity in purely infinite simple $C^\ast$-algebras, Canad. J. Math. 59 (2007), 343-371.

Mathematical Reviews (MathSciNet): MR2310621

Digital Object Identifier: doi:10.4153/CJM-2007-015-9

Terry A. Loring, Projective $C^\ast$-algebras, Math. Scand. 73 (1993), 274-280.

Mathematical Reviews (MathSciNet): MR1269264

Zentralblatt MATH: 0811.46060

–––, Lifting solutions to perturbing problems in $C^*$-algebras, Fields Inst. Mono. 8, American Mathematical Society, Providence, RI, 1997.

Mathematical Reviews (MathSciNet): MR1420863

Zentralblatt MATH: 1155.46310

–––, A projective $C^{\ast}$-algebra related to $K$-theory, J. Funct. Anal. 254 (2008), 3079-3092.

Terry A. Loring and Gert K. Pedersen, Projectivity, transitivity and AF-telescopes, Trans. Amer. Math. Soc. 350 (1998), 4313-4339.

Mathematical Reviews (MathSciNet): MR1616003

Zentralblatt MATH: 0906.46044

Digital Object Identifier: doi:10.1090/S0002-9947-98-02353-8

Gert K. Pedersen, Extensions of $C^*$-algebras, in Operator algebras and quantum field theory Int. Press, Cambridge, MA, 1997.

Mathematical Reviews (MathSciNet): MR1491103

Michael J. Powers, Fixed point theorems for non-compact approximative ANR's, Fund. Math. 75 (1972), 61-68.

Mathematical Reviews (MathSciNet): MR307215

Tatiana Shulman, Lifting of nilpotent contractions, Bull. Lond. Math. Soc. 40 (2008), 1002.

Mathematical Reviews (MathSciNet): MR2471949

Zentralblatt MATH: 1162.46030

Digital Object Identifier: doi:10.1112/blms/bdn084

Jack Spielberg, Weak semiprojectivity for purely infinite $C^\ast$-algebras, Canad. Math. Bull. 50 (2007), 460-468.

Mathematical Reviews (MathSciNet): MR2344181

Digital Object Identifier: doi:10.4153/CMB-2007-045-x

Jan van Mill, Infinite-dimensional topology, North-Holland Math. Library 43, North-Holland Publishing Co., Amsterdam, 1989. \noindentstyle

Mathematical Reviews (MathSciNet): MR977744

previous :: next

Rocky Mountain Journal of Mathematics