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Orbit equivalence,flow equivalence and ordered cohomology
Orbit equivalence flow equivalence ordered cohomology
2015/9/29
We study self-homeomorphisms of zero dimensional metrizable compact Hausdorff spaces by means of the ordered first cohomology group, particularly in the light of the recent work of Giordano, Putnam, a...
EQUIVARIANT FLOW EQUIVALENCE FOR SHIFTS OF FINITE TYPE,BY MATRIX EQUIVALENCE OVER GROUP RINGS
EQUIVARIANT FLOW EQUIVALENCE SHIFTS OF FINITE TYPE MATRIX EQUIVALENCE OVER GROUP RINGS
2015/9/29
Let G be a finite group. We classify G-equivariant flow equivalence of nontrivial irreducible shifts of finite type interms of (i) elementary equivalence of matrices over ZG and (ii) the conjugacy cla...
Equivalence of Reconstruction from the Absolute Value of the Frame Coefficients to a Sparse Representation Problem
frames nonlinear processing sparse representation
2015/9/29
The purpose of this note is to prove, for real frames, that signal reconstruction from the absolute value ofthe frame coefficients is equivalent to solution of a sparse signal optimization problem, na...
Universal equivalence of partially commutative metabelian Lie algebras
Lie algebras Universal equivalence Rings and Algebras
2011/8/23
Abstract: In this paper, we find a criterium for universal equivalence of partially commutative Lie algebras whose defining graphs are trees. Besides, we obtain bases for partially commutative metabel...
Unitary equivalence to a truncated Toeplitz operator: analytic symbols
Toeplitz operator model space truncated Toeplitz operator
2011/2/24
Unlike Toeplitz operators on H2, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.
Hochster's Theta Pairing and Algebraic Equivalence
Hochster's Theta Pairing Algebraic Equivalence
2010/11/24
We define a variant of Hochster's theta pairing and prove that it is constant in flat families of modules over hypersurfaces with isolated singularities. As a consequence, we show that the theta pair...
Derived equivalence classification of symmetric algebras of polynomial growth
Symmetric algebra Polynomial growth Derived equivalence K¨ulshammer ideals
2010/12/1
We complete the derived equivalence classification of all symmetric algebras of poly-nomial growth, by solving the subtle problem of distinguishing the standard and nonstandard nondomestic symmetric a...
Orbit Equivalence and Measured Group Theory
Orbit equivalence Measured group theory von Neumann algebras
2010/11/26
We give a survey of various recent developments in orbit equivalence and measured group theory. This subject aims at studying infinite countable groups through their measure preserving actions.