Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Chern characters associated
with almost commuting algebras

Author: Daoxing Xia
Journal: Proc. Amer. Math. Soc. 125 (1997), 507-514
MSC (1991): Primary 47A55; Secondary 47G05
MathSciNet review: 1363189
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A trace formula related to $p$-almost commuting subalgebras $X$ and $Y$ is established. By means of this formula, homomorphisms from $K_{0}(X)$ to $H^{\mathrm {odd}}_{\lambda }(Y)$ and from $K_{1}(X)$ to $H^{\mathrm {even}}_{\lambda }(Y)$ are established. An index map from $K_{0}(X)\times K_{1}(Y)$ to $\mathbb {Z}$ is also given.

References [Enhancements On Off] (What's this?)

  • 1. A. Connes, Non-commutative differential geometry, Inst. Hautes Études Sci. Publ. Math. 62 (1985), 257-360. MR 87i:58162
  • 2. -, Noncommutative Geometry, Acad. Press, Inc., San Diego, 1994. MR 95j:46063
  • 3. J. Cuntz, Cyclic cohomology and $K$-homology, Proc. Inter. Congr. Math. (Kyoto, 1990), Math. Soc. Jap., 1991, pp. 968-978. MR 93c:19003
  • 4. J. L. Loday and D. Quillen, Cyclic homology and the Lie algebra homology of matrices, Comment. Math. Helvetici 59 (1984), 565-591. MR 86i:17003
  • 5. D. Quillen, Algebra cochains and cyclic cohomology, Publ. Math. IHES 68 (1989), 139-174. MR 90j:18008
  • 6. D. Xia, Trace formula for almost Lie group of operators and cyclic one-cocycles, Integr. Equat. Oper. Th. 9 (1986), 570-587. MR 88d:22015
  • 7. -, Trace formulas for almost commuting operators, cyclic cohomology and subnormal operators, Integr. Equat. Oper. Th. 14 (1991), 276-298. MR 92a:47046
  • 8. -, A note on the trace formulas for almost commuting operators, Proc. Amer. Math. Soc. 116 (1992), 135-141. MR 92k:47074
  • 9. -, Generalized cyclic cohomology associated with deformed commutators, Proc. Amer. Math. Soc. 124 (1996), 1743-1753.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47A55, 47G05

Retrieve articles in all journals with MSC (1991): 47A55, 47G05

Additional Information

Daoxing Xia
Affiliation: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240

Keywords: Cyclic cohomology, Chern character, K-theory, almost commuting, deformed commutator, twisted commutator
Received by editor(s): August 16, 1995
Additional Notes: This work is supported in part by NSF grant DMS-9400766.
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society

American Mathematical Society