Normed groups and their applications in noncommutative differential geometry
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part V, Tome 266 (2000), pp. 234-244
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Our work is devoted to abstract study of so-called normed semi-groups, i.e., semi-groups having both rich
topological and rich algebraic structure, which arise in some problems of non-commutative geometry. We
consider in details the most interesting example, namely, an Abel semi-group $\mathscr N(A)$, where $A$ is a von Neumann algebra. The definition of this semi-group is based on the notion of stable equivalence of normal
elements of $W^*$-algebras which generalizes the notion of stable equivalence of projectors.
@article{ZNSL_2000_266_a13,
author = {A. A. Pavlov},
title = {Normed groups and their applications in noncommutative differential geometry},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {234--244},
publisher = {mathdoc},
volume = {266},
year = {2000},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_266_a13/}
}
A. A. Pavlov. Normed groups and their applications in noncommutative differential geometry. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part V, Tome 266 (2000), pp. 234-244. http://geodesic.mathdoc.fr/item/ZNSL_2000_266_a13/