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pro vyhledávání: '"Kulkarni, Chaitanya J."'
In this work, we introduce the concept of direct integral of locally Hilbert spaces by using the notion of locally standard measure space (analogous to standard measure space defined in the classical setup), which we obtain by considering a strictly
Externí odkaz:
http://arxiv.org/abs/2409.01200
The classical decomposition theory for states on a C*-algebra that are invariant under a group action has been studied by using the theory of orthogonal measures on the state space \cite{BR1}. In \cite{BK3}, we introduced the notion of \textit{genera
Externí odkaz:
http://arxiv.org/abs/2308.13771
The space of weak expectations for a given representation of a (unital) separable C*-algebra is a compact convex set of (unital) completely positive maps in the BW topology, when it is non-empty. An application of the classical Choquet theory gives a
Externí odkaz:
http://arxiv.org/abs/2211.10224
A classical result by Effros connects the barycentric decomposition of a state on a C*-algebra to the disintegration of the GNS representation of the state with respect to an orthogonal measure on the state space of the C*-algebra. In this note, we t
Externí odkaz:
http://arxiv.org/abs/2211.10225
In this article we define a special class of weak expectations for a representation of a separable unital C*-algebra, called decomposable weak expectation. We give necessary and sufficient conditions for such kind of weak expectations to exist for a
Externí odkaz:
http://arxiv.org/abs/2211.10220
Akademický článek
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Publikováno v:
Forum Mathematicum; Nov2024, Vol. 36 Issue 6, p1483-1497, 15p
Publikováno v:
Advances in Operator Theory; October 2023, Vol. 8 Issue: 4