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Invariant Cocycles Have Abelian Ranges

Monatshefte f�r Mathematik, 2002
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Greschonig, Gernot, Schmidt, Klaus
openaire   +3 more sources

Note on Additive Cocycles

Journal of the London Mathematical Society, 1985
The author strengthens a result of \textit{K. Schmidt} [Cocycles on ergodic transformation groups (1977; Zbl 0421.28017.)] providing a sufficient condition for an additive real measurable cocycle to be a coboundary. The paper under review deals with the general case while the result of Schmidt treates the ergodic one.
openaire   +2 more sources

UHF FLOWS AND COCYCLES

International Journal of Mathematics, 2012
UHF flows are the flows obtained as inductive limits of flows on full matrix algebras. We will revisit universal UHF flows and give an explicit construction of such flows on a UHF algebra Mk∞ for any k and also present a characterization of such flows. Those flows are UHF flows whose cocycle perturbations are almost conjugate to themselves.
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$��$-recurrence in cocycles

2011
After relating the notion of $ $-recurrence in skew products to the range of values taken by partial ergodic sums and Lyapunov exponents, ergodic $\mathbb{Z}$-valued cocycles over an irrational rotation are presented in detail. First, the generic situation is studied and shown to be $1/n$-recurrent. It is then shown that for any $ (n) 1/2$, there are
Chaika, Jon, Ralston, David
openaire   +1 more source

Quandle Cocycle Invariants

2004
Invariants in a state-sum form that are defined in a similar manner for both classical knots and knotted surfaces were first presented in [CJKLS03] (and announced in [CJKLS99]) using cocycles of quandle homology theory. The quandle cocycle knot invariants are natural generalizations of the Dijkgraaf-Witten invariant for 3-manifolds and other state-sum ...
Scott Carter   +2 more
openaire   +1 more source

On cocycles

Journal of Interdisciplinary Mathematics, 2019
Mohammad Reza Molaei, Tahere Nasirzadeh
openaire   +1 more source

Cocyclic associates

2011
Warwick de Launey, Dane Flannery
openaire   +1 more source

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