ON NEW APPROACH TO FREDHOLM THEORY IN UNITAL C ∗ -ALGEBRAS
Abstract
Motivated by Fredholm theory on the standard Hilbert module
over a unital C
∗
-algebra introduced by Mishchenko and Fomenko, we provide a
new approach to axiomatic Fredholm theory in unital C
∗
-algebras established
by Ke£ki¢ and Lazovi¢ in [15]. Our approach is equivalent to the approach
introduced by Ke£ki¢ and Lazovi¢, however, we provide new proofs which are
motivated by the proofs given by Mishchenko and Fomenko in [17].
over a unital C
∗
-algebra introduced by Mishchenko and Fomenko, we provide a
new approach to axiomatic Fredholm theory in unital C
∗
-algebras established
by Ke£ki¢ and Lazovi¢ in [15]. Our approach is equivalent to the approach
introduced by Ke£ki¢ and Lazovi¢, however, we provide new proofs which are
motivated by the proofs given by Mishchenko and Fomenko in [17].
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