Operator algebras and algebraic 𝐾-theory

Brown, Lawrence G.

doi:10.1090/S0002-9904-1975-13943-7

Operator algebras and algebraic $K$-theory

Author: Lawrence G. Brown
Journal: Bull. Amer. Math. Soc. 81 (1975), 1119-1121
MSC (1970): Primary 46L05
DOI: https://doi.org/10.1090/S0002-9904-1975-13943-7
MathSciNet review: 0383090
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Lawrence G. Brown, The determinant invariant for operators with trace class self commutators, Proceedings of a Conference on Operator Theory (Dalhousie Univ., Halifax, N.S., 1973) Springer, Berlin, 1973, pp. 210–228. Lecture Notes in Math., Vol. 345. MR 0390830

2. L. G. Brown, Group cohomology of topological groups (in preparation).

Lawrence G. Brown, Characterizing ${\rm Ext}(X)$, $K$-theory and operator algebras (Proc. Conf., Univ. Georgia, Athens, Ga., 1975) Springer, Berlin, 1977, pp. 10–18. Lecture Notes in Math., Vol. 575. MR 0474275
L. G. Brown, R. G. Douglas, and P. A. Fillmore, Extensions of $C^{\ast } $-algebras, operators with compact self-commutators, and $K$-homology, Bull. Amer. Math. Soc. 79 (1973), 973–978. MR 346540, DOI https://doi.org/10.1090/S0002-9904-1973-13284-7
L. G. Brown, R. G. Douglas, and P. A. Fillmore, Unitary equivalence modulo the compact operators and extensions of $C^{\ast } $-algebras, Proceedings of a Conference on Operator Theory (Dalhousie Univ., Halifax, N.S., 1973) Springer, Berlin, 1973, pp. 58–128. Lecture Notes in Math., Vol. 345. MR 0380478

6. R. K. Dennis, Differentials in algebraic K-theory(preprint).

J. William Helton and Roger E. Howe, Integral operators: commutators, traces, index and homology, Proceedings of a Conference Operator Theory (Dalhousie Univ., Halifax, N.S., 1973) Springer, Berlin, 1973, pp. 141–209. Lecture Notes in Math., Vol. 345. MR 0390829
Jerome Kaminker and Claude Schochet, Steenrod homology and operator algebras, Bull. Amer. Math. Soc. 81 (1975), no. 2, 431–434. MR 450997, DOI https://doi.org/10.1090/S0002-9904-1975-13775-X

9. J. W. Milnor, Introduction to algebraic K-theory, Ann. of Math. Studies, no. 72, Princeton, N. J., 1971.

10. J. W. Milnor, On the Steenrod homology theory, Mimeographed notes, Univ. of Calif, Berkeley, Calif., 1961.

N. E. Steenrod, Regular cycles of compact metric spaces, Ann. of Math. (2) 41 (1940), 833–851. MR 2544, DOI https://doi.org/10.2307/1968863