|
On semiprojectivity of -algebras of directed graphs
Author(s):
Wojciech
Szymanski
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1391-1399.
MSC (2000):
Primary 46L05, 46L80
Posted:
October 12, 2001
Retrieve article in:
PDF
This article is available free of charge
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.
References:
- 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.
- B. Blackadar, Shape theory for
-algebras, Math. Scand. 56 (1985), 249-275. MR 87b:46074 - 3.
- B. Blackadar,
-Theory for Operator Algebras, 2 ed., MSRI Publ., vol. 5, Cambridge Univ. Press, 1998. MR 99g:46104 - 4.
- B. Blackadar, Semiprojectivity in simple
-algebras, lecture at the US-Japan Seminar, Fukuoka, 1999. - 5.
- J. Cuntz,
-theory for certain -algebras, Ann. of Math. 113 (1981), 181-197. MR 84c:46058 - 6.
- J. Cuntz and W. Krieger, A class of
-algebras and topological Markov chains, Invent. Math. 56 (1980), 251-268. MR 82f:46073a - 7.
- E. G. Effros and J. Kaminker, Homotopy continuity and shape theory for
-algebras, in Geometric methods in operator algebras (Kyoto, 1983), pp. 152-180, Pitman Res. Notes Math. 123, Longman Sci. Tech., Harlow, 1986. MR 88a:46082 - 8.
- S. Eilers, T. A. Loring and G. K. Pedersen, Stability of anticommutation relations: An application of noncommutative
complexes, J. Reine Angew. Math. 499 (1998), 101-143. MR 99e:46067 - 9.
- N. J. Fowler, M. Laca and I. Raeburn, The
-algebras of infinite graphs, Proc. Amer. Math. Soc. 128 (2000), 2319-2327. MR 2000k:46079 - 10.
- A. Kumjian, D. Pask and I. Raeburn, Cuntz-Krieger algebras of directed graphs, Pacific J. Math. 184 (1998), 161-174. MR 99i:46049
- 11.
- A. Kumjian, D. Pask, I. Raeburn and J. Renault, Graphs, groupoids, and Cuntz-Krieger algebras, J. Funct. Anal. 144 (1997), 505-541. MR 98g:46083
- 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.
Similar Articles:
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:
10.1090/S0002-9939-01-06282-7
PII:
S 0002-9939(01)06282-7
Received by editor(s):
June 1, 2000
Received by editor(s) in revised form:
November 9, 2000
Posted:
October 12, 2001
Communicated by:
David R. Larson
Copyright of article:
Copyright
2001,
American Mathematical Society
|