منابع مشابه
Dirichlet forms on hyperfinite II1 factor
Based on the structure of the hyperfinite II1 factor, we study its Dirichlet forms which can be constructed from Dirichlet forms on M2n(C).
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For any finite dimensional C *-algebra A with any trace vector s whose components are rational numbers, we give an endomorphism Φ of the hyperfinite II 1 factor R such that:
متن کاملElementary Complexity into the Hyperfinite II1 Factor
In this paper, we show how the framework of von Neumann algebras can be applied to model the dynamics of computational processes. Namely, our aim is to gain an understanding of classical computation in terms of the hyperfinite factor, starting from the class of Kalmar recursive functions. Our model fits within a vast project of reshaping the unified theory of semantics of computation called geo...
متن کاملCrash course: the hyperfinite II1 factor and the standard form
Masterclass “Topological quantum field theories, quantum groups and 3-manifold invariants”) This is a follow-up notes for the introductory talks (45min × 2) on the hyperfinite II1 factor and the standard form prepared for Prof. Ryszard Nest’s talks Oct.9-10. There may be typos or errors. 1 Talk 1 (Oct. 6 2014, 10:30-11:15) We define the notion of II1 factors and see one example, namely the hype...
متن کاملSome Quasinilpotent Generators of the Hyperfinite Ii1 Factor
Abstract. For each sequence {cn}n in l1(N) we define an operator A in the hyperfinite II1-factor R. We prove that these operators are quasinilpotent and they generate the whole hyperfinite II1-factor. We show that they have non-trivial, closed, invariant subspaces affiliated to the von Neumann algebra and we provide enough evidence to suggest that these operators are interesting for the hyperin...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1968
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1968-0226421-x