Uniqueness of the Index Map in Banach Algebra K-Theory
C. R. Math. Rep. Acad. Sci. Canada Vol. 36 (2-3) 2014, pp. 93–96
June 30, 2014
George A. Elliott, Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 2E4; e-mail: elliott@math.toronto.edu
Abstract/Résumé:
It is shown that the index map in Banach algebra K-theory, as a natural map from the K\(_1\)-group of a quotient of a Banach algebra to the K\(_0\)-group of the corresponding ideal, is unique (up to an integral multiple).
Il est démontré que l’application index dans la K-théorie des algèbres de Banach est unique, dans un sens très naturel.
Keywords: K-theory, index theory
AMS Subject Classification: Index theory 19K56
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Uniqueness of the Index Map in Banach Algebra K-Theory
AMS Subject Classification: Index theory 19K56
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