Abstract
In this note we study index theory for orbifolds. We deduce from the K -theoretical index theorem of Farsi ( Q . J1 Math. 43, 183-200 (1992)) the orbifold index theorem of T. Kawasaki using cyclic theory (A. Connes and G. Yu). Our main result is an extension of Theorem 14 in the Farsi paper, namely we derive the cohomological index formula for orbifolds of T. Kawasaki from our K -theoretical index theorem by using the methods introduced by A. Connes and G. Yu. In §1 we review some notation and describe the K -theoretical index theorems for orbifolds and in §2 we prove our main result.
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