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Hyperbolicity of the complex of free factors
Hyperbolicity of the complex free factors Group Theory
2011/9/13
Abstract: We prove that the complex of free factors of a free group of finite rank is hyperbolic.
A class of II_1 factors with many non conjugate Cartan subalgebras
non conjugate Cartan subalgebras Operator Algebras Dynamical Systems Group Theory
2011/8/26
Abstract: We construct a class of II_1 factors that admit a non smooth family of Cartan subalgebras that are non conjugate by an automorphism. We also construct a II_1 factor that admits uncountably m...
On the number of factors in the unipotent factorization of holomorphic mappings into $\text{SL}_2(\mathbb{C})$
number of factors unipotent factorization of holomorphic $\text{SL}_2(\mathbb{C})$
2011/1/18
We estimate the number of unipotent elements needed to factor a null-homotopic holomorphic map from a finite dimensional reduced Stein spaces X into SL2(C) .
On explicit factors of Cyclotomic polynomials over finite fields
Cyclotomic polynomials finite fields
2010/11/24
We study the explicit factorization of $2^n r$-th cyclotomic polynomials over finite field $\mathbb{F}_q$ where $q, r$ are odd with $(r, q) =1$. We show that all irreducible factors of $2^n r$-th cyc...
Strong solidity of group factors from lattices in SO(n,1) and SU(n,1)
strong solidity lattices
2010/12/3
We show that the group factors L, where is an ICC lattice in either SO(n, 1)or SU(n, 1), n ≥ 2, are strongly solid in the sense of Ozawa and Popa [13]. This strengthens a result o...