The endoscopic transfer factor is expressed as difference of characters for the even and odd parts spin modules, or Dirac index trivial representation. lifting tempered in terms cohomology calculated explicitly.

Abstract. Certain facts about frames and generalized frames (g- frames) are extended for the g-frames for Hilbert C*-modules. It is shown that g-frames for Hilbert C*-modules share several useful properties with those for Hilbert spaces. The paper also character- izes the operators which preserve the class of g-frames for Hilbert C*-modules. Moreover, a necessary and suffcient condition is ob- ...

It is proven that a ring R is δ-semiperfect if and only if every right R-module is (amply) cofinitely δ-supplemented. Mathematics Subject Classification: 16L30, 16E50

This note has been written to supplement Keith Conrad’s [1], though it is largely independent of the latter. I am going to show some (rather elementary) properties of free modules over PIDs and apply them to drop the “full submodule” resp. “nonzero determinant” restraints which qualify many statements made in [1]. Thanks are due to Keith Conrad for a correction and helpful remarks. The LaTeX so...

abstract. certain facts about frames and generalized frames (g- frames) are extended for the g-frames for hilbert c*-modules. it is shown that g-frames for hilbert c*-modules share several useful properties with those for hilbert spaces. the paper also character- izes the operators which preserve the class of g-frames for hilbert c*-modules. moreover, a necessary and suffcient condition is ob- ...

Let T and R be measure preserving, T weakly mixing, R ergodic, and let S be conservative ergodic and nonsingular. Let T be a weakly mixing compact abelian group extension of T. UTxS is ergodic then T x S is ergodic. A corollary is a new proof that if T is mildly mixing then so is T. A similar statement holds for other ergodic multiplier properties. Now let T be a weakly mixing type a compact af...