On semiprojectivity of -algebras of directed graphs

Author:
Wojciech Szymanski

Journal:
Proc. Amer. Math. Soc. **130** (2002), 1391-1399

MSC (2000):
Primary 46L05, 46L80

Published electronically:
October 12, 2001

MathSciNet review:
1879962

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that if is a countable, transitive directed graph with finitely many vertices, then is semiprojective.

**1.**T. Bates, D. Pask, I. Raeburn and W. Szymanski,*The**-algebras of row-finite graphs*, New York J. Math.**6**(2000), 307-324. CMP**2001:04****2.**Bruce Blackadar,*Shape theory for 𝐶*-algebras*, Math. Scand.**56**(1985), no. 2, 249–275. MR**813640****3.**Bruce Blackadar,*𝐾-theory for operator algebras*, 2nd ed., Mathematical Sciences Research Institute Publications, vol. 5, Cambridge University Press, Cambridge, 1998. MR**1656031****4.**B. Blackadar,*Semiprojectivity in simple**-algebras*, lecture at the US-Japan Seminar, Fukuoka, 1999.**5.**Joachim Cuntz,*𝐾-theory for certain 𝐶*-algebras*, Ann. of Math. (2)**113**(1981), no. 1, 181–197. MR**604046**, 10.2307/1971137**6.**Joachim Cuntz and Wolfgang Krieger,*A class of 𝐶*-algebras and topological Markov chains*, Invent. Math.**56**(1980), no. 3, 251–268. MR**561974**, 10.1007/BF01390048**7.**E. G. Effros and J. Kaminker,*Homotopy continuity and shape theory for 𝐶*-algebras*, Geometric methods in operator algebras (Kyoto, 1983) Pitman Res. Notes Math. Ser., vol. 123, Longman Sci. Tech., Harlow, 1986, pp. 152–180. MR**866493****8.**Søren Eilers, Terry A. Loring, and Gert K. Pedersen,*Stability of anticommutation relations: an application of noncommutative CW complexes*, J. Reine Angew. Math.**499**(1998), 101–143. MR**1631120****9.**Neal J. Fowler, Marcelo Laca, and Iain Raeburn,*The 𝐶*-algebras of infinite graphs*, Proc. Amer. Math. Soc.**128**(2000), no. 8, 2319–2327. MR**1670363**, 10.1090/S0002-9939-99-05378-2**10.**Alex Kumjian, David Pask, and Iain Raeburn,*Cuntz-Krieger algebras of directed graphs*, Pacific J. Math.**184**(1998), no. 1, 161–174. MR**1626528**, 10.2140/pjm.1998.184.161**11.**Alex Kumjian, David Pask, Iain Raeburn, and Jean Renault,*Graphs, groupoids, and Cuntz-Krieger algebras*, J. Funct. Anal.**144**(1997), no. 2, 505–541. MR**1432596**, 10.1006/jfan.1996.3001**12.**I. Raeburn and W. Szymanski,*Cuntz-Krieger algebras of infinite graphs and matrices*, preprint, 1999.**13.**W. Szymanski,*The range of**-invariants for**-algebras of infinite graphs*, Indiana Univ. Math. J., to appear.

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC (2000):
46L05,
46L80

Retrieve articles in all journals with MSC (2000): 46L05, 46L80

Additional Information

**Wojciech Szymanski**

Affiliation:
Department of Mathematics, The University of Newcastle, Callaghan, New South Wales 2308, Australia

Email:
wojciech@frey.newcastle.edu.au

DOI:
https://doi.org/10.1090/S0002-9939-01-06282-7

Received by editor(s):
June 1, 2000

Received by editor(s) in revised form:
November 9, 2000

Published electronically:
October 12, 2001

Communicated by:
David R. Larson

Article copyright:
© Copyright 2001
American Mathematical Society