Homology for operator algebras II. Stable homology for non-self-adjoint algebras

Journal of Functional Analysis

Volumn 135, Issue 1, 1996, Pages 233-269

  Power, S C ^a  

^a NONE

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EID: 0030577614     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.0010     Document Type: Article

References (28)

1. 1. E. CHRISTENSEN, Derivations of nest algebras, Math. Ann. 229 (1977), 155-161.
2. 2. K. R. DAVIDSON AND S. C. POWER, Isometric automorphisms and homology for non-self-adjoint operator algebras, Quart. Math. J. 42 (1991), 271-292.
3. 3. A. P. DONSIG AND S. C. POWER, Homology for operator algebras IV: On the regular classification of limits of 4-cycle algebras, preprint, 1995.
4. 4. M. GERSTENHABER AND S. P. SCHACK, Simplicial homology is Hochschild cohomology, J. Pure Appl. Algebra 30 (1983), 143-156.
5. 5. F. GILFEATHER, Derivations of certain CSL algebras, J. Operator Theory 11 (1984), 91-108.
6. 6. F. GILFEATHER, A. HOPENWASSER, AND D. LARSON, Reflexive algebras with finite width lattices: Tensor products, cohomology, compact perturbations, J. Funct. Anal. 55 (1984), 176-199.
7. 7. F. GILFEATHER AND R. L. MOORE, Isomorphisms of certain CSL algebras, J. Funct. Anal. 67 (1986) 264-291.
8. 8. F. GILFEATHER AND R. R. SMITH, Cohomology for operator algebras: Cones and suspensions, Proc. London Math. Soc. 65 (1992), 175-198.
9. 9. F. GILFEATHER AND R. R. SMITH, Cohomology for operator algebras: Joins, preprint, 1992.
10. 10. F. GILFEATHER AND R. R. SMITH, Operator algebras with arbitrary Hochschild cohomology, Contemp. Math. 120 (1991), 33-40.
11. 11. YA. HELEMSKII, The homology of Banach and topological algebras, "Mathematics and Its Applications (Soviet Series)," Vol. 41, Kluwer Academic, Dordrecht/Boston/London, 1986.
12. 12. B. E. JOHNSON, Cohomology in Banach algebras, Mem. Amer. Math. Soc. 127 (1972).
13. 13. B. E. JOHNSON, R. V. KADISON, AND J. R. RINGROSE, Cohomology of operator algebras. III. Reduction to normal cohomology, Bull. Soc. Math. France 100 (1972), 73-96.
14. 14. R. V. KADISON AND J. R. RINGROSE, Cohomology of operator algebras. I. Type I von Neumnann algebras, Acta Math. 126 (1971), 227-243.
15. 15. J. KRAUS AND S. D. SCHACK, The cohomology and deformations of CSL algebras, unpublished notes, 1988.
16. 16. E. C. LANCE, Cohomology and perturbations of nest algebras, Proc. London Math. Soc. 43 (1981), 334-356.
17. 17. P. S. MUHLY AND B. SOLEL, Subalgebras of groupoid C*-algebras, J. Reine Angew. Math. 402 (1989), 41-75.
18. 18. J. PETERS, Y. POON, AND B. WAGNER, Triangular AF algebras, J. Operator Theory 23 (1990), 81-114.
19. 19. S. C. POWER, Classifications of tensor products of triangular operator algebras, Proc. London Math. Soc. 61 (1990), 571-614.
20. 20. S. C. POWER, Non-self-adjoint operator algebras and inverse systems of simplicial complexes, J. Reine Angew. Math. 421 (1991), 43-61.
21. 21. S. C. POWER, "Limit Algebras: An Introduction to Subalgebras of C*-Algebras," Pitman Research Notes in Mathematics, Vol. 278, Longman, Harlow/New York, 1992.
22. 0 and approximately finite operator algebras, J. Operator Theory 27 (1992), 87-106.
23. 23. S. C. POWER, On the outer automorphism groups of triangular alternation limit algebras, J. Funct. Anal. 113 (1993), 462-471.
24. 24. S. C. POWER, Infinite lexicographic products of triangular algebras, Bull. London Math. Soc. 27 (1995), 273-277.
25. 25. S. C. POWER, Homology for operator algebras. I. Spectral homology for reflexive algebras, J. Funct. Anal. 131 (1995), 29-53.
26. 26. S. C. POWER, Homology for operator algebra. III. Partial isometry homotopy and triangular operator algebras, preprint, 1995.
27. 27. J. RENAULT, A groupoid approach to C*-algebras, Lecture Notes in Mathematics, Vol. 793, Springer-Verlag, Berlin/Heidelberg/New York, 1980.
28. 28. J. TAYLOR, Homology and cohomology for topological algebras, Adv. in Math. 9 (1972), 137-182.