From the irreducible decompositions’ point of view, the structure of the cyclic GLn(C)-module generated by the α-determinant degenerates when α = ± 1 k (1 ≤ k ≤ n − 1) (see [6]). In this paper, we show that − 1 k -determinant shares similar properties which the ordinary determinant possesses. From this fact, one can define a new (relative) invariant called a wreath determinant. Using (GLm, GLn)...

For a countable amenable group Γ and an element f in the integral group ring ZΓ being invertible in the group von Neumann algebra of Γ, we show that the entropy of the shift action of Γ on the Pontryagin dual of the quotient of ZΓ by its left ideal generated by f is the logarithm of the Fuglede-Kadison determinant of f . For the proof, we establish an `-version of Rufus Bowen’s definition of to...

Trypsinized cell walls of Group B hemolytic streptococci are composed of a group-specific carbohydrate and mucopeptide. The carbohydrate extracted with hot formamide is composed of rhamnose, N-acetylglucosamine, and galactose. Quantitative precipitin inhibition studies have shown that L rhamose is the significant component of the antigenic determinant. The cross-reactivity between B and G carbo...

magnetotelluric (mt) method is an electromagnetic method which provides information about subsurface conductivity structures using earth's natural electromagnetic fields. static shift is one of disorders arising from shallow conductors; therefore static shift must be corrected as one of mt data processing steps. in the absence of sufficient information about the near surface distortions, w...