Generalized cyclic cohomology associated with deformed commutators. (English) Zbl 0855.46044
Summary: The generalized cyclic cohomology is introduced which is associated with \(q\)-deformed commutators \(xy- qyx\). Some formulas related to the trace of the product of \(q\)-deformed commutators are established. The Chern character of odd dimension associated with \(q\)-deformed commutators is studied.
MSC:
| 46M20 | Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) |
| 47B47 | Commutators, derivations, elementary operators, etc. |
| 47A55 | Perturbation theory of linear operators |
| 46L87 | Noncommutative differential geometry |
Keywords:
twisted commutator; generalized cyclic cohomology; \(q\)-deformed commutators; trace; Chern characterReferences:
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