Characters of cycles and Fredholm modules
نویسنده
چکیده
We derive simple explicit formulas for the character of a cycle in the Connes’ (b, B)-bicomplex of cyclic cohomology and give applications to the Fredholm modules and equivariant characteristic classes.
منابع مشابه
Twisted Cyclic Cohomology and Modular Fredholm Modules
Connes and Cuntz showed in [Comm. Math. Phys. 114 (1988), 515–526] that suitable cyclic cocycles can be represented as Chern characters of finitely summable semifinite Fredholm modules. We show an analogous result in twisted cyclic cohomology using Chern characters of modular Fredholm modules. We present examples of modular Fredholm modules arising from Podleś spheres and from SUq(2).
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We derive simple explicit formula for the character of a cycle in the Connes’ (b, B)-bicomplex of cyclic cohomology and apply it to write formulas for the equivariant Chern character and characters of finitely-summable bounded Fredholm modules.
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تاریخ انتشار 2008