In this note we prove some results in flat and differential $K$-theory. The first one is a proof of the compatibility of the differential topological index and the flat topological index by a direct computation. The second one is the explicit isomorphisms between Bunke-Schick differential $K$-theory and Freed-Lott differential $K$-theory.
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机译：在本说明中，我们用统一和微分的$ K $理论证明了一些结果。第一个是通过直接计算证明了微分拓扑指数和平坦拓扑指数的兼容性。第二个是Bunke-Schick微分$ K $理论和Freed-Lott微分$ K $理论之间的显式同构。
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