Results 1 to 10 of about 41,604 (217)
Infinite measure preserving flows with infinite ergodic index [PDF]
Colloquium Mathematicum, 2009 We construct a rank-one infinite measure preserving flow (Tr)r∈R such that for each p > 0, the ‘diagonal’ flow (Tr × · · · × Tr } {{ } p times )r∈R on the product space ...
Alexandre I. Danilenko, Anton V. Solomko
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The Distinguishing Index of Infinite Graphs [PDF]
The Electronic Journal of Combinatorics, 2015 The distinguishing index $D^\prime(G)$ of a graph $G$ is the least cardinal $d$ such that $G$ has an edge colouring with $d$ colours that is only preserved by the trivial automorphism. This is similar to the notion of the distinguishing number $D(G)$ of a graph $G$, which is defined with respect to vertex colourings.We derive several bounds for ...
Broere, Izak, Pilsniak, Monika
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Enlargeability and index theory: infinite covers [PDF]
K-Theory, 2007 14 pages, comma in author field added, to appear in K ...
Hanke, Bernhard, Schick, Thomas
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Infinite Index Subfactors and the GICAR Categories [PDF]
Communications in Mathematical Physics, 2015 40 pages, many ...
Jones, Vaughan F. R., Penneys, David
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Infinite symmetric ergodic index and related examples in infinite measure [PDF]
Studia Mathematica, 2018 We define an infinite measure-preserving transformation to have infinite symmetric ergodic index if all finite Cartesian products of the transformation and its inverse are ergodic, and show that infinite symmetric ergodic index does not imply that all products of powers are conservative, so does not imply power weak mixing.
Loh, Isaac +2 more
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A COMMENT ON JONES INCLUSIONS WITH INFINITE INDEX [PDF]
Reviews in Mathematical Physics, 1995 Given an irreducible inclusion of infinite von-Neumann-algebras [Formula: see text] together with a conditional expectation [Formula: see text] such that the inclusion has depth 2, we show quite explicitly how [Formula: see text] can be viewed as the fixed-point algebra of [Formula: see text] w.r.t.
Nill, Florian, Wiesbrock, Hans-Werner
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When the Morse index is infinite [PDF]
International Mathematics Research Notices, 2004 Let f be a smooth Morse function on an infinite dimensional separable Hilbert manifold, all of whose critical points have infinite Morse index and co-index. For any critical point x choose an integer a(x) arbitrarily. Then there exists a Riemannian structure on M such that the corresponding gradient flow of f has the following property: for any pair of
ABBONDANDOLO, ALBERTO, MAJER, PIETRO
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Infinite index subalgebras of depth two [PDF]
Proceedings of the American Mathematical Society, 2008 An algebra extension $A \| B$ is right depth two in this paper if its tensor-square is $A$-$B$-isomorphic to a direct summand of any (not necessarily finite) direct sum of $A$ with itself. For example, normal subgroups of infinite groups, infinitely generated Hopf-Galois extensions and infinite dimensional algebras are depth two in this extended sense.
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The Canonical Endomorphism for Infinite Index Inclusions
Zeitschrift für Analysis und ihre Anwendungen, 1999 We give purely algebraic characterisations of the canonical endomorphism in in-teresting infinite index cases, continuing previous works of Longo and the authors. We apply these results when compact and discrete (but not necessarily finite-dimensional) Woronowicz algebras act alternately on the factors in the various levels of Jones’ tower.
Fidaleo Francesco, Isola Tommaso
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A Planar Calculus for Infinite Index Subfactors [PDF]
Communications in Mathematical Physics, 2012 We develop an analog of Jones' planar calculus for II_1-factor bimodules with arbitrary left and right von Neumann dimension. We generalize to bimodules Burns' results on rotations and extremality for infinite index subfactors. These results are obtained without Jones' basic construction and the resulting Jones projections.
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