in this note, we characterize chebyshev subalgebras of unital jb-algebras. we exhibit that if b is chebyshev subalgebra of a unital jb-algebra a, then either b is a trivial subalgebra of a or a= h r .l, where h is a hilbert space

We study a noncommutative (operator space) version of the ‘boundary’, and in particular the Shilov boundary, of a function space. The main idea is that Hilbert C∗−modules and their properties, which we studied earlier in the operator space framework, replace certain topological tools. We include some general notes on the ‘commutative case’ of some of the topics we discuss, coming in part from j...

We show that the Green correspondence induces an injective group homomorphism from linear source Picard L(B) of a block B finite algebra to L(C), where C is Brauer correspondent B. This maps trivial T(B) T(C). further endopermutation E(B) bounded in terms defect groups and when has normal E(B)=L(B). Finally we prove rank any invertible B-bimodule by

In this note, we characterize Chebyshev subalgebras of unital JB-algebras. We exhibit that if B is Chebyshev subalgebra of a unital JB-algebra A, then either B is a trivial subalgebra of A or A= H R .l, where H is a Hilbert space

For an extension of associative algebras B ⊂ A over a field and A-bimodule X, we obtain Jacobi–Zariski long nearly exact sequence relating the Hochschild homologies B, relative homology, all them with coefficients in X. This is twice three. There spectral which converges to gap exactness.

in this paper we proved that every g-riesz basis for hilbert space $h$ with respect to $k$ by adding a condition is a riesz basis for hilbert $b(k)$-module $b(h,k)$. this is an extension of [a. askarizadeh,m. a. dehghan, {em g-frames as special frames}, turk. j. math., 35, (2011) 1-11]. also, we derived similar results for g-orthonormal and orthogonal bases. some relationships between dual fram...

We prove that any separable II1 factor M admits a coarse decomposition over the hyperfinite R—that is, there exists an embedding R↪M such L2M⊖L2R is multiple of Hilbert R-bimodule L2R⊗‾L2Rop. Equivalently, von Neumann algebra generated by left and right multiplication R on isomorphic to R⊗‾Rop. Moreover, if Q⊂M infinite-index irreducible subfactor, then can be constructed with respect Q as well...

Cipriani and Sauvageot have shown that for any [Formula: see text]-generator text] of a tracially symmetric quantum Markov semigroup on C*-algebra there exists densely defined derivation from to Hilbert bimodule such text]. Here, we show this construction can in general not be generalized semigroups are with respect non-tracial state. In particular, all derivations bimodules assumed concrete fo...