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In which the binary product algebra of complex numbers, C, is generalized to a ternary product algebra, .
Using an appropriate definition of the multiplicity of a spectral value, we introduce a new definition of the trace and determinant of elements with finite spectrum in Jordan-Banach algebras. We first extend a result obtained by J. Zemánek in the associative case, on the connectedness of projections which are close to each other spectrally (Theorem 2.3). Secondly we show that the rank of the Riesz projection associated to a finite-rank element a and a finite subset of its spectrum is equal to the...
Let be a differential (not necessarily commutative) algebra which carries a free action of a polynomial algebra with homogeneous generators . We show that for acyclic, the cohomology of the quotient
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