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

DOI:
https://doi.org/10.1090/S0002-9939-97-03688-5

MathSciNet review:
1363189

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Abstract | References | Similar Articles | Additional Information

Abstract: A trace formula related to -almost commuting subalgebras and is established. By means of this formula, homomorphisms from to and from to are established. An index map from to is also given.

**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 -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.

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Additional Information

**Daoxing Xia**

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

Email:
xiad@ctrvax.vanderbilt.edu

DOI:
https://doi.org/10.1090/S0002-9939-97-03688-5

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