On Various Generalizations of Semi-$${\mathcal {A}}$$-Fredholm Operators
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DOI: 10.1007/s11785-020-00995-3
Abstract: Starting from the definition of $${\mathcal {A}}$$ -Fredholm and semi- $${\mathcal {A}}$$ -Fredholm operator on the standard module over a unital $$C^{*}$$ algebra $${\mathcal {A}}$$ , introduced in Ivkovic (Banach J Math Anal 13(4):989–1016, 2019)… read more here.
Keywords: semi mathcal; https doi; various generalizations; fredholm operators ... See more keywords
K-homology and Fredholm operators I: Dirac operators
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DOI: 10.1016/j.geomphys.2018.08.008
Abstract: This is an expository paper which gives a proof of the Atiyah-Singer index theorem for Dirac operators, presenting the theorem as a computation of the K-homology of a point. This paper and its follow up… read more here.
Keywords: index; dirac operators; homology fredholm; fredholm operators ... See more keywords
A Trace Formula for the Index of B-Fredholm Operators
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DOI: 10.1017/s0013091518000147
Abstract: Abstract In this paper we define B-Fredholm elements in a Banach algebra A modulo an ideal J of A. When a trace function is given on the ideal J, it generates an index for B-Fredholm… read more here.
Keywords: index; index fredholm; fredholm operators; fredholm ... See more keywords