Module structures on Hochschild and cyclic cohomology of crossed products

Ronghui Ji ()
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Ronghui Ji: Indiana Univ.— Purdue Univ. at Indianapolis

A chapter in Algebraic Methods in Operator Theory, 1994, pp 236-260 from Springer

Abstract: Abstract In his foundational work of noncommuatative differential geometry [3] Alain Connes introduced a notion of cyclic theory for cyclic objects in an abelian category. He also introduced a paring theory between cyclic cohomology and K-theory. It turns out that from its invention noncommutative differential geometry plays a key role in the interactions among analysis, dynamics, topology, and geometry. Calculating cyclic cohomology of appropriate algebras will then be a crucial step in realizing these interactions.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0255-4_24

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DOI: 10.1007/978-1-4612-0255-4_24

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