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- W3082719137 abstract "$E$-theory was originally defined concretely by Connes and Higson and further work followed this construction. We generalise the definition to $C^ast$-categories. $C^ast$-categories were formulated to give a theory of operator algebras in a categorical picture and play important role in the study of mathematical physics. In this context, they are analogous to $C^ast$-algebras and so have invariants defined coming from $C^ast$-algebra theory but they do not yet have a definition of $E$-theory. Here we define $E$-theory for both complex and real graded $C^ast$-categories and prove it has similar properties to $E$-theory for $C^ast$-algebras." @default.
- W3082719137 created "2020-09-08" @default.
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- W3082719137 date "2020-08-28" @default.
- W3082719137 modified "2023-09-27" @default.
- W3082719137 title "E-theory for $C^ast$-Categories" @default.
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