空格 发表于 2025-3-21 18:18:34
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Cyclic Homology,oth, holomorphic, algebraic,...). Very often those objects can be defined in a way that is applicable to any algebra A, commutative or not. Study of associative algebras by means of such objects of geometric origin is the subject of noncommutative geometry . The Hochschild and cyclic (co)homintellect 发表于 2025-3-22 02:04:48
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Lecture Notes in Computer Scienceology theory is the part of noncommutative geometry which generalizes the classical differential and integral calculus. The geometric objects being generalized to the noncommutative setting are differential forms, densities, multivector fields, etc.Ligament 发表于 2025-3-22 12:20:54
Pushparaj Shetty D,M. Prasanna Lakshmiation . on a manifold .: by picking an (open) transversal . we are lead to consider the noncommutative algebra obtained as the crossed product of the algebra ..(.) of compactly supported smooth functions on . by a pseudogroup of diffeomorphisms.Subjugate 发表于 2025-3-22 15:35:33
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0938-0396top experts in the field, making this subseries unique.CompCyclic homology was introduced in the early eighties independently by Connes and Tsygan. They came from different directions. Connes wanted to associate homological invariants to K-homology classes and to describe the index pair ing with K泛滥 发表于 2025-3-23 01:40:22
Book 2004te homological invariants to K-homology classes and to describe the index pair ing with K-theory in that way, while Tsygan was motivated by algebraic K-theory and Lie algebra cohomology. At the same time Karoubi had done work on characteristic classes that led him to study related structures, withomyocardium 发表于 2025-3-23 05:58:54
Book 2004itional framework of homological algebra. The cyclic homology groups were computed in many examples and new important properties such as prod uct structures, excision for H-unital ideals, or connections with cyclic objects and simplicial topology, were established. An excellent account of the state