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Simple Spectrum for Tensor Products of Mixing Map Powers
Tensor Products Mixing Map Powers Dynamical Systems
2011/9/20
Abstract: We prove the existence of a mixing rank one map $T$ such that the product $T\otimes T^2\otimes T^3\otimes...$ has simple spectrum. This result is used in S.V. Thikhonov's proof of the existe...
We prove explicit formulas for Chern classes of tensor products of vector bundles, with coefficients given by certain universal polynomials in the ranks of the two bundles.
Let R be a semisimple ring. A pair (A,C) is called pre-Koszul if A is a connected graded R-ring and C is a compatible connected graded R-coring. To a pre-Koszul pair we associate several complexes an...
Arens Regularity of Tensor Products and Weak Amenability of Banach Algebras
Arens Regularity of Tensor Products Weak Amenability of Banach Algebras
2010/11/9
In this note, we study the Arens regularity of projective tensor product $A\hat{\otimes}B$ whenever $A$ and $B$ are Arens regular. We establish some new conditions for showing that the Banach algebra...
Alternative twisted tensor products and Cayley algebras
twisted tensor products Cayley algebras
2010/11/15
We introduce what we call "alternative twisted tensor products" for not necessarily associative algebras, as a common generalization of several different constructions: the Cayley-Dickson process, th...
Tensor products of representations up to homotopy
Tensor products of representations homotopy
2010/12/14
We study the construction of tensor products of representations up to homotopy, which
are the A∞ version of ordinary representations. We provide formulas for the construction
of tensor products of r...
Tensor products of homotopy Gerstenhaber algebras
products homotopy Gerstenhaber algebras
2010/11/30
On the tensor product of two homotopy Gerstenhaber algebras we construct a Hirsch algebra structure which extends the canonical dg algebra structure. Our result applies more generally to tensor produc...
On tensor products of weak mixing vector sequences and their applications to C*-dynamical systems
Uniform weak mixing weak mixing ergodicity
2010/11/29
We prove that, under certain conditions, uniform weak mixing (to zero)of the bounded sequences in Banach space implies uniform weak mixing of its tensor product. Moreover, we prove that ergodicity of ...
Small Ball Probabilities for Smooth Gaussian fields and Tensor Products of Compact Operators
Small deviations slowly varying functions smooth covariances
2010/12/10
We find the logarithmic L2-small ball asymptotics for a class of zero mean Gaussian fields with covariances having the structure of “tensor product”. The main condition imposed on marginal covariances...
From random sets to continuous tensor products: answers to three questions of W. Arveson
continuous tensor products W. Arveson
2010/10/29
The set of zeros of a Brownian motion gives rise to a product system in the sense of William Arveson (that is, a continuous tensor product system of Hilbert spaces). Replacing the Brownian motion with...
On infinite tensor products of projective unitary representations
tensor products projective unitary representations
2010/10/29
We initiate a study of infinite tensor products of projective unitary representations of a discrete group G. Special attention is given to regular representations twisted by 2-cocycles and to projecti...