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Functional analysis and its applications
April 18, 2019 10:30–11:50
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Noncommutative differential forms and cyclic homology
F. Eshmatov
Sichuan University, Department of Mathematics
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Abstract:
Let $A$ be an associative algebra. Then there is a universal differential graded algebra $DA$ introduced by W.Arveson and M.Karoubi. $DA$ plays a role of noncommutative differential forms on $A$. In this talk is defined this algebra and discuss various operations on it. Then it is showed how to define cyclic homology using $DA$.
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