Invariant traces on algebras
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- by Guido Karrer PDF
- Proc. Amer. Math. Soc. 42 (1974), 369-372 Request permission
Abstract:
Certain properties of traces on a finite-dimensional associative algebra A lead to the definition of an element $t(A) \in {H^1}({\text {Out}}\;A,{C^\ast }),{C^\ast }$ being the multiplicative group of the center of A as Out A-module. It is shown that $t(A) = 0$ is equivalent to the existence of nondegenerate traces on A which are invariant under composition with all automorphisms of A. In particular, by means of Galois theory, $t(A) = 0$ is shown for a semisimple algebra A, whereas $t(A) \ne 0$ for certain group algebras.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 369-372
- MSC: Primary 16A64
- DOI: https://doi.org/10.1090/S0002-9939-1974-0327838-8
- MathSciNet review: 0327838