K -theory and Toeplitz C * -algebras a survey

Matthias Lesch

Séminaire de théorie spectrale et géométrie (1990-1991)

  • Volume: 9, page 119-132
  • ISSN: 1624-5458

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Lesch, Matthias. "$K$-theory and Toeplitz $C^*$-algebras a survey." Séminaire de théorie spectrale et géométrie 9 (1990-1991): 119-132. <http://eudml.org/doc/114308>.

@article{Lesch1990-1991,
author = {Lesch, Matthias},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {-theory; index theory; Toeplitz -algebras; Grothendieck group; Murray-von Neumann type analysis; six-term-exact sequence theorem},
language = {eng},
pages = {119-132},
publisher = {Institut Fourier},
title = {$K$-theory and Toeplitz $C^*$-algebras a survey},
url = {http://eudml.org/doc/114308},
volume = {9},
year = {1990-1991},
}

TY - JOUR
AU - Lesch, Matthias
TI - $K$-theory and Toeplitz $C^*$-algebras a survey
JO - Séminaire de théorie spectrale et géométrie
PY - 1990-1991
PB - Institut Fourier
VL - 9
SP - 119
EP - 132
LA - eng
KW - -theory; index theory; Toeplitz -algebras; Grothendieck group; Murray-von Neumann type analysis; six-term-exact sequence theorem
UR - http://eudml.org/doc/114308
ER -

References

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  1. [At] ATIYAH M.F. - K-Theory, Benjamin, 1967. MR224083
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  3. [BCK] C. A. BERGER C.A., COBURN L.A., KORÁNYI A. - Opérateurs de Wiener-Hopf sur les Sphères de Lie, C. R. Acad. Sci. Paris, Sér. A+B , 290 ( 1980), 989-991. Zbl0436.47021MR584284
  4. [BM] BOUTET DE MONVEL L. - On the index of Toeplitz operators of several complex variables, Invent. Math., 50 ( 1979), 244-272. Zbl0398.47018MR520928
  5. [C] CARTAN E. - Sur les Domaines bornés homogènes de l'espace de n variables complexes, Abh. Math. Sem. Hamburg, 11 ( 1936), 116-162. Zbl0011.12302JFM61.0370.03
  6. [Cu] CUNTZ J. - K-Theory and C*-algebras, Springer Lecture Notes in Math., bf 1046 , 55-79. Zbl0548.46056MR750677
  7. [GK] GOHBERG I., KREĬN M. - Systems of integral operators on a half-line with kernels depending on the difference of the arguments, Amer. Math. Soc. Transl., 14 ( 1960), 217-287. MR113114
  8. [GN] GELFAND I., NAIMARK M. - On the embedding of normed rings into the ring of operators in Hilbert space, Mat. Sbornik, 12 ( 1943), 197-213. Zbl0060.27006
  9. [H] HUA L. K. - Harmonic analysis of functions of several complex variables in the classical domains, Transl. Math. Monogr. 6, Providence, Rhode Island, 1963. Zbl0112.07402
  10. [JK] JI R., KAMINKER J.. - The K-theory of Toeplitz extensions, J. Op. Theory, 19 ( 1988), 347-354. Zbl0686.46042
  11. [K] KAROUBI M. - K-Theory, Springer, 1978. Zbl0382.55002
  12. [KW] KORÁNYI A., WOLF J.A. - The realization of hermitian symmetric spaces as generalized half planes, Ann. Math., 81 ( 1965), 265-288. Zbl0137.27402
  13. [Ll] LESCH M. - K-theory of Toeplitz C*-algebras on Lie spheres, Int. Equ. Op. Theory , 14 ( 1991), 120-145. Zbl0731.46037
  14. [L2] LESCH M. - On the index of the infinitesimal generator of a flow, preprint, Augsburg 1989, to appear in J. Op. Theory. Zbl0784.46041MR1214921
  15. [MPX] MUHLY P.S., PUTNAM I.F., XIA J. - On the K-theory of some C*-algebras of Toeplitz and singular integral operators, preprint 1989. Zbl0787.46056
  16. [S1] SCHRÖDER H. - Einige kontinuierliche Indexsätze, Dissertation, Marburg, 1982. 
  17. [S2] SCHRÖDER H. - Some continuous index theorems, Int. Equ. Op. Theory, 7 ( 1984), 868-883. Zbl0561.47026
  18. [Sch] SCHOCHET C. - Topological methods for C*-algebras I: Spectral sequences, Pac. J. Math., 96 ( 1981), 193-211. Zbl0426.46057
  19. [SP] SCHOCHET C., PARK E. - On the K-theory of quarter-plane Toeplitz algebras, Int. J. Math., 2 ( 1991), 295-204. Zbl0752.46040
  20. [Up1] UPMEIER H. - Toeplitz operators on bounded symmetric domains, Trans. Amer. Math. Soc., 280 ( 1983), 221-237. Zbl0527.47019
  21. [Up2] UPMEIER H. - Toeplitz C*-algebras on bounded symmetric domains, Ann. Math., 119 ( 1984), 549-576. Zbl0549.46031MR744863
  22. [Up3] UPMEIER H. - Fredholm indices for Toeplitz operators on bounded symmetric domains, Amer. J. Math., 110 ( 1988), 811-832. Zbl0758.47030MR961496
  23. [V] VENUGOPALKRISHNA U. - Fredholm operators associated with strongly pseudoconvex domains in Cn, J. Funct. An., 9 ( 1972), 349-373. Zbl0241.47023MR315502
  24. [W] WOOD R. - Banach algebras and Bott periodicity, Topology, 4 ( 1966), 371-389. Zbl0163.36702MR185598

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