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Module structures on Hochschild and cyclic cohomology of crossed products

In: Algebraic Methods in Operator Theory

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  • Ronghui Ji

    (Indiana Univ.— Purdue Univ. at Indianapolis)

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.

Suggested Citation

  • Ronghui Ji, 1994. "Module structures on Hochschild and cyclic cohomology of crossed products," Springer Books, in: Raúl E. Curto & Palle E. T. Jørgensen (ed.), Algebraic Methods in Operator Theory, pages 236-260, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0255-4_24
    DOI: 10.1007/978-1-4612-0255-4_24
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