Added a first simple test.

That serves as a proof-of-concept and as a template for future tests.
It's a start!

config/karma-test-shim.js

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+Error.stackTraceLimit = Infinity;
+
+require('core-js/es6');
+require('core-js/es7/reflect');
+
+require('zone.js/dist/zone');
+require('zone.js/dist/long-stack-trace-zone');
+require('zone.js/dist/proxy');
+require('zone.js/dist/sync-test');
+require('zone.js/dist/jasmine-patch');
+require('zone.js/dist/async-test');
+require('zone.js/dist/fake-async-test');
+
+var appContext = require.context('../src', true, /\.spec\.ts/);
+
+appContext.keys().forEach(appContext);
+
+var testing = require('@angular/core/testing');
+var browser = require('@angular/platform-browser-dynamic/testing');
+
+testing.TestBed.initTestEnvironment(browser.BrowserDynamicTestingModule, browser.platformBrowserDynamicTesting());

config/karma.conf.js

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+var webpackConfig = require('./webpack.test');
+
+module.exports = function (config) {
+    var _config = {
+        basePath: '',
+
+        frameworks: ['jasmine'],
+
+        files: [
+            {
+                pattern: './config/karma-test-shim.js',
+                watched: false
+            }
+        ],
+
+        preprocessors: {
+            './config/karma-test-shim.js': ['webpack', 'sourcemap']
+        },
+
+        webpack: webpackConfig,
+
+        webpackMiddleware: {
+            stats: 'errors-only'
+        },
+
+        webpackServer: {
+            noInfo: true
+        },
+
+        reporters: ['kjhtml'],
+        port: 9876,
+        colors: true,
+        logLevel: config.LOG_INFO,
+        autoWatch: false,
+        browsers: ['PhantomJS'],
+        singleRun: true,
+        phantomjsLauncher: {
+            // Have phantomjs exit if a ResourceError is encountered (useful if karma exits without killing phantom) 
+            exitOnResourceError: true
+        }
+    };
+
+    config.set(_config);
+};

config/webpack.test.js

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+var webpack = require('webpack');
+var helpers = require('./helpers');
+
+module.exports = {
+    devtool: 'inline-source-map',
+
+    resolve: {
+        extensions: ['.ts', '.js']
+    },
+
+    module: {
+        rules: [
+            {
+                test: /\.ts$/,
+                loaders: [
+                    {
+                        loader: 'awesome-typescript-loader',
+                        options: {configFileName: helpers.root('src', 'tsconfig.json')}
+                    }, 'angular2-template-loader'
+                ]
+            },
+            {
+                test: /\.html$/,
+                loader: 'html-loader'
+
+            },
+            {
+                test: /\.(png|jpe?g|gif|svg|woff|woff2|ttf|eot|ico)$/,
+                loader: 'null-loader'
+            },
+            {
+                test: /\.css$/,
+                exclude: helpers.root('src', 'app'),
+                loader: 'null-loader'
+            },
+            {
+                test: /\.css$/,
+                include: helpers.root('src', 'app'),
+                loader: 'raw-loader'
+            }
+        ]
+    },
+
+    plugins: [
+        new webpack.ContextReplacementPlugin(
+            // The (\\|\/) piece accounts for path separators in *nix and Windows
+            /angular(\\|\/)core(\\|\/)(esm(\\|\/)src|src)(\\|\/)linker/,
+            helpers.root('./src'), // location of your src
+            {} // a map of your routes
+        )
+    ]
+};