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Normed Groups and Their Applications in Noncommutative Differential Geometry

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Abstract

A normed semigroup is a semigroup having both rich topological and rich algebraic structure. This work is devoted to an abstract study of normed semigroups that arise in some problems of noncommutative geometry. The most interesting example, namely, the Abel semigroup \(\mathcal{N}(A)\), where A is a von Neumann algebra, is considered in detail. The definition of the latter semigroup is based on the notion of stable equivalence of normal elements of W*-algebras, which generalizes the notion of stable equivalence of projectors. Bibliography: 8 titles.

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REFERENCES

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Authors and Affiliations

  1. Moscow State University, Russia

    A. A. Pavlov

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  1. A. A. Pavlov
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Pavlov, A.A. Normed Groups and Their Applications in Noncommutative Differential Geometry. Journal of Mathematical Sciences 113, 675–682 (2003). https://doi.org/10.1023/A:1021110613081

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  • DOI: https://doi.org/10.1023/A:1021110613081

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