K-theory of C*-algebras of b-pseudodifferential operators

Geometric and Functional Analysis

Volumn 8, Issue 1, 1998, Pages 88-122

  Melrose, Richard ^a   Nistor, Victor ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032221696     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000390050049     Document Type: Article

References (24)

1. M.F. ATIYAH, Elliptic operators, discrete subgroups, and von Neumann algebras, Asterisque 32 (1969), 43-72.
2. M.F. ATIYAH, V.K. PATODI, I.M. SINGER, Spectral asymmetry and Riemannian geometry, I, Math. Proc. Camb. Phil. Soc. 77 (1975), 43-69.
3. M.F. ATIYAH, I.M. SINGER, The index of elliptic operators, I, Ann. of Math. 87 (1968), 484-530.
4. M.F. ATIYAH, I.M. SINGER, The index of elliptic operators, III, Ann. of Math. 87 (1968), 546-604.
5. B. BLACKADAR, K-theory for Operator Algebras, Springer, New York, 1986.
6. A. CONNES, Non Commutative Geometry, Academic Press, 1995.
7. 2-index theorem for homogeneous spaces of lie groups, Ann. of Math. 115 (1982), 291-330.
8. J. DIXMIER, Les C* algébres et leurs representations, Gauthier-Villars, Paris, 1964.
9. R.G. DOUGLAS, Banach Algebra Techniques in Operator Theory, Pure and Applied Math. 49, Academic Press, New York-London, 1972.
10. A. HASSELL, R. MAZZEO, R.B. MELROSE, A signature theorem on manifolds with corners of codimension two, Preprint, 1994.
11. L. HÖRMANDER, The Analysis of Linear Partial Differential Operators 3, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1985.
12. G.G. KASPAROV, Equivariant KK-theory and the Novikov conjecture, Invent. Math. 91 (1988), 147-201.
13. R. LAUTER, Holomorphic functional calculus in several variables and Ψ* algebras of totally characteristic operators on manifolds with boundary, Dissertation: Mainz University 1996.
14. R. B. MELROSE, Transformation of boundary problems, Acta Math. 147 (1981), 149-236.
15. R.B. MELROSE, The Atiyah-Patodi-Singer Index Theorem, A K Peters, Wellesley, Mass, 1993.
16. R.B. MELROSE, The eta invariant and families of pseudodifferential operators, Math. Res. Letters 2:5 (1995), 541-561.
17. R.B. MELROSE, Fibrations, compactifications and algebras of pseudodifferential operators, Partial Differential Equations and Mathematical Physics, The Danish-Swedish Analysis Seminar, 1995 (L. Hörmander, A. Melin, eds.), Birkhäuser (1996), 246-261.
18. R.B. MELROSE, V. NISTOR, Homology of pseudodifferential operators I. Manifolds with boundary, submitted, 1996.
19. R.B. MELROSE, V. NISTOR, Homology of pseudodifferential operators II. Manifolds with corners, in preparation.
20. R.B. MELROSE, P. PIAZZA, Analytic K-theory for manifolds with corners, Adv. in Math. 92 (1992), 1-27.
21. V. NISTOR, Properties of the Cuntz-Quillen boundary map, preprint.
22. V. NISTOR, A bivariant Chern-Connes character, Ann. of Math. 138 (1993), 555-590.
23. J. Rosenberg, C. Schochet, The Künnet formula and the universal coefficient theorems for Kasparov's generalized K-functot, Duke Math. J. 55 (1987), 431-474.
24. I.M. SINGER, Some remarks on operator algebras and index theory, K-theory and Operator Theory, Proc. Georgia Conference, Springer Lect. Notes in Math. 575, (1975), 128-138.