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Contributions to the $K$-theory of $C^*$-algebras of Toeplitz and singular integral operators
Author(s):
Paul S.
Muhly;
Ian F.
Putnam;
Jingbo
Xia
Journal:
Bull. Amer. Math. Soc.
21
(1989),
47-50.
MSC (1985):
Primary 46L80, 47G05, 46M20, 47B35
MathSciNet review:
985138
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Additional information
References:
- [CP] R. Carey and J. Pincus, Mosaics, principal functions, and mean motion in von Neumann algebras, Acta Math. 138 (1977), 153-218. MR 435901
- [CDSS] L. Coburn, R. G. Douglas, D. Schaeffer and I. Singer, On C*-algebras of operators on a half-space II, Index theory, Inst. Hautes Études Sci. Publ. Math. 40 (1971), 69-79. MR 358418
- [Cl] A. Connes, Sur la théorie non commutative de l'intégration, Algèbres d'Opérateurs, Lecture Notes in Math., vol. 725, Springer-Verlag, Berlin and New York, 1979, pp. 19-143. MR 548112
- [C2] A. Connes, C*-algèbres et géométrie différentielle, C. R. Acad. Sci. Paris Sér. A 290 (1980), 599-604. MR 572645
- [C3] A. Connes, An analogue of the Thom isomorphism for crossed products of a C*-algebra by an action of R, Adv. in Math. 39 (1981), 31-55. MR 605351
- [CMX] R. Curto, P. Muhly and J. Xia, Toeplitz operators on flows, preprint. MR 1073291
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- [D2] R. G. Douglas, Another look at real-valued index theory, Surveys of Some Recent Results in Operator Theory, Vol. II, (J. B. Conway and B. B. Morrel eds.), Pitman Research Notes in Mathematics Series 192, New York, 1988, pp. 91-120. MR 976844
- [DHK1] R. G. Douglas, S. Hurder and J. Kaminker, Toeplitz operators and the eta invariant: the case of S, preprint. MR 948687
- [DHK2] R. G. Douglas, S. Hurder and J. Kaminker, The longitudinal cyclic cocycle and the index of Toeplitz operators, preprint.
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- [GF] I. Gohberg and I. Feldman, On Wiener-Hopf integral difference equations, Dokl. Akad. Nauk SSSR 183 (1968), 25-28=Soviet Math. Dokl. 9 (1968), 1312-1316. MR 285879
- [JK] R. Ji and J. Kaminker, The K-theory of Toeplitz extensions, J. Operator Theory 19 (1988), 347-354. MR 960985
- [JX] R. Ji and J. Xia, On the classification of commutator ideals, J. Funct. Anal. 78 (1988), 208-232. MR 943498
- [R] M. Rieffel, Connes' analogue for crossed products of the Thom isomorphism, Contemporary Math., vol. 10, Amer. Math. Soc. Providence, R.I., 1980, pp. 143-154. MR 658513
- [X] J. Xia, The K-theory and the invertibility of almost periodic Toeplitz operators, Integral Equations and Operator Theory 11 (1988), 267-286. MR 928486
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15756-X
PII:
S 0273-0979(1989)15756-X
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